1. Lesson 10.7, For use with pages 550-558
Copy:
6.G.2 Apply the formula V = l w h to find volumes of rectangular prisms.
1. Find the surface area of a rectangular prism that is 12 inches by 3 inches by 6 inches.
ANSWER
252in.2
2. Find the surface area of a rectangular prism that is 10 meters by 4 meters by 10 meters.
ANSWER
360 m2

2. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 1
Counting Cubes in a Stack
Notepads
Apply the formula V = l w h to find volumes of rectangular prisms.

3. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 1
Counting Cubes in a Stack
Notepads
A manufacturer stacks cube-shaped notepads and wraps them in plastic as shown in Example 1. The manufacturer then puts them into a rectangular box for shipping. How many notepads will fit into each box?
Apply the formula V = l w h to find volumes of rectangular prisms.

4. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 1
Counting Cubes in a Stack
Notepads
A manufacturer stacks cube-shaped notepads and wraps them in plastic as shown in Example 1. The manufacturer then puts them into a rectangular box for shipping. How many notepads will fit into each box?
To find the total number of notepads that will fit in one box, multiply the number of notepads in one layer by the number of layers. The notepads are stacked in 2 layers. Each layer is a rectangle that is 4 notepads long and 3 notepads wide.
Apply the formula V = l w h to find volumes of rectangular prisms.

5. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 1
Counting Cubes in a Stack
Notepads in one layer
Number of
layers
Apply the formula V = l w h to find volumes of rectangular prisms.

6. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 1
Counting Cubes in a Stack
Notepads in one layer
Number of
layers =
Number of notepads
Apply the formula V = l w h to find volumes of rectangular prisms.

7. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 1
Counting Cubes in a Stack
Notepads in one layer
Number of
layers =
Number of notepads
4 3 2
Apply the formula V = l w h to find volumes of rectangular prisms.

8. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 1
Counting Cubes in a Stack
Notepads in one layer
Number of
layers =
Number of notepads
4 3 2
= 24
Apply the formula V = l w h to find volumes of rectangular prisms.

9. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 1
Counting Cubes in a Stack
Notepads in one layer
Number of
layers =
Number of notepads
4 3 2
= 24
ANSWER
The manufacturer can fit 24 notepads in one box. Check You can count the number of notepads in the front layer, then multiply that number by the number of layers going front to back.
Apply the formula V = l w h to find volumes of rectangular prisms.

10. Apply the formula V = l w h to find volumes of rectangular prisms.
KEY CONCEPT
Finding the Volume of a Prism
Apply the formula V = l w h to find volumes of rectangular prisms.

11. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 2
Finding the Volume of a Prism
Find the volume of the rectangular prism.
Apply the formula V = l w h to find volumes of rectangular prisms.

12. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 2
Finding the Volume of a Prism
Find the volume of the rectangular prism.
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.

13. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 2
Finding the Volume of a Prism
Find the volume of the rectangular prism.
V = l w h
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.

14. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 2
Finding the Volume of a Prism
Find the volume of the rectangular prism.
V = l w h
Write the volume formula.
Substitute for l, w, and h.
Apply the formula V = l w h to find volumes of rectangular prisms.

15. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 2
Finding the Volume of a Prism
Find the volume of the rectangular prism.
V = l w h
Write the volume formula.
Substitute for l, w, and h. = 8
( 6.2 )
(3.9)
Apply the formula V = l w h to find volumes of rectangular prisms.

16. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 2
Finding the Volume of a Prism
Find the volume of the rectangular prism.
V = l w h
Write the volume formula.
Substitute for l, w, and h.
Simplify. = 8
( 6.2 )
(3.9)
Apply the formula V = l w h to find volumes of rectangular prisms.

17. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 2
Finding the Volume of a Prism
Find the volume of the rectangular prism.
V = l w h
Write the volume formula.
Substitute for l, w, and h.
Simplify. = 8
( 6.2 )
(3.9) =
Apply the formula V = l w h to find volumes of rectangular prisms.

18. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 2
Finding the Volume of a Prism
Find the volume of the rectangular prism.
V = l w h
Write the volume formula.
Substitute for l, w, and h.
Simplify. = 8
( 6.2 )
(3.9) =
ANSWER
The volume is cubic inches.
Apply the formula V = l w h to find volumes of rectangular prisms.

19. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Apply the formula V = l w h to find volumes of rectangular prisms.

20. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
1. What If? In Example 1, suppose a box can hold one more horizontal layer of notepads. How many notepads would fit in a box?
Apply the formula V = l w h to find volumes of rectangular prisms.

21. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
1. What If? In Example 1, suppose a box can hold one more horizontal layer of notepads. How many notepads would fit in a box?
SOLUTION
Apply the formula V = l w h to find volumes of rectangular prisms.

22. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
1. What If? In Example 1, suppose a box can hold one more horizontal layer of notepads. How many notepads would fit in a box?
SOLUTION
To find the total number of notepads that will fit in one box, multiply the number of notepads in one layer by the number of layers. The notepads are stacked in 3 layers. Each layer is a rectangle that is 4 notepads long and 3 notepads wide.
Apply the formula V = l w h to find volumes of rectangular prisms.

23. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Notepads in one layer
Number of
layers
Apply the formula V = l w h to find volumes of rectangular prisms.

24. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Notepads in one layer
Number of
layers =
Number of notepads
Apply the formula V = l w h to find volumes of rectangular prisms.

25. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Notepads in one layer
Number of
layers =
Number of notepads
4 3 3
Apply the formula V = l w h to find volumes of rectangular prisms.

26. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Notepads in one layer
Number of
layers =
Number of notepads
4 3 3
= 36
Apply the formula V = l w h to find volumes of rectangular prisms.

27. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Notepads in one layer
Number of
layers =
Number of notepads
4 3 3
= 36
ANSWER
Apply the formula V = l w h to find volumes of rectangular prisms.

28. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Notepads in one layer
Number of
layers =
Number of notepads
4 3 3
= 36
ANSWER
The manufacturer can fit 36 notepads in one box..
Apply the formula V = l w h to find volumes of rectangular prisms.

29. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
Apply the formula V = l w h to find volumes of rectangular prisms.

30. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
2. 5 m by 2 m by 4 m
Apply the formula V = l w h to find volumes of rectangular prisms.

31. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
2. 5 m by 2 m by 4 m
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.

32. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
2. 5 m by 2 m by 4 m l w h
V =
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.

33. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
2. 5 m by 2 m by 4 m l w h
V =
Write the volume formula.
Substitute for l, w, and h.
Apply the formula V = l w h to find volumes of rectangular prisms.

34. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
2. 5 m by 2 m by 4 m l w h
V =
Write the volume formula.
Substitute for l, w, and h. = 5
( 2 )
( 4 )
Apply the formula V = l w h to find volumes of rectangular prisms.

35. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
2. 5 m by 2 m by 4 m l w h
V =
Write the volume formula.
Substitute for l, w, and h.
Simplify. = 5
( 2 )
( 4 )
Apply the formula V = l w h to find volumes of rectangular prisms.

36. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
2. 5 m by 2 m by 4 m l w h
V =
Write the volume formula.
Substitute for l, w, and h.
Simplify. = 5
( 2 )
( 4 )
= 40
Apply the formula V = l w h to find volumes of rectangular prisms.

37. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
2. 5 m by 2 m by 4 m l w h
V =
Write the volume formula.
Substitute for l, w, and h.
Simplify. = 5
( 2 )
( 4 )
= 40
ANSWER
Apply the formula V = l w h to find volumes of rectangular prisms.

38. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
2. 5 m by 2 m by 4 m l w h
V =
Write the volume formula.
Substitute for l, w, and h.
Simplify. = 5
( 2 )
( 4 )
= 40
ANSWER
The volume is 40 cubic meters.
Apply the formula V = l w h to find volumes of rectangular prisms.

39. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
Apply the formula V = l w h to find volumes of rectangular prisms.

40. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
ft. by 6 ft. by 6 ft.
Apply the formula V = l w h to find volumes of rectangular prisms.

41. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
ft. by 6 ft. by 6 ft.
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.

42. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
ft. by 6 ft. by 6 ft. l w h
V =
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.

43. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
ft. by 6 ft. by 6 ft. l w h
V =
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.

44. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
ft. by 6 ft. by 6 ft. l w h
V =
Write the volume formula.
Substitute for l, w, and h.
Apply the formula V = l w h to find volumes of rectangular prisms.

45. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
ft. by 6 ft. by 6 ft. l w h
V =
Write the volume formula.
Substitute for l, w, and h. =
12.5
( 6 )
( 6 )
Apply the formula V = l w h to find volumes of rectangular prisms.

46. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
ft. by 6 ft. by 6 ft. l w h
V =
Write the volume formula.
Substitute for l, w, and h.
Simplify. =
12.5
( 6 )
( 6 )
Apply the formula V = l w h to find volumes of rectangular prisms.

47. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
ft. by 6 ft. by 6 ft. l w h
V =
Write the volume formula.
Substitute for l, w, and h.
Simplify. =
12.5
( 6 )
( 6 )
= 450
Apply the formula V = l w h to find volumes of rectangular prisms.

48. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
ft. by 6 ft. by 6 ft. l w h
V =
Write the volume formula.
Substitute for l, w, and h.
Simplify. =
12.5
( 6 )
( 6 )
= 450
ANSWER
Apply the formula V = l w h to find volumes of rectangular prisms.

49. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Examples 1 and 2
Find the volume of the rectangular prism with the given dimensions.
ft. by 6 ft. by 6 ft. l w h
V =
Write the volume formula.
Substitute for l, w, and h.
Simplify. =
12.5
( 6 )
( 6 )
= 450
ANSWER
The volume is 450 ft3.
Apply the formula V = l w h to find volumes of rectangular prisms.

50. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 3
Using the Formula for Volume
Aquariums
Apply the formula V = l w h to find volumes of rectangular prisms.

51. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 3
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool?
Apply the formula V = l w h to find volumes of rectangular prisms.

52. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 3
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool?
SOLUTION
Apply the formula V = l w h to find volumes of rectangular prisms.

53. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 3
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool?
SOLUTION
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.

54. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 3
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.

55. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 3
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
Substitute for V, w, and h.
Apply the formula V = l w h to find volumes of rectangular prisms.

56. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 3
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool?
SOLUTION
V = lwh
21,600 = l
Write the volume formula.
Substitute for V, w, and h.
Apply the formula V = l w h to find volumes of rectangular prisms.

57. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 3
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool?
SOLUTION
V = lwh
21,600 = l
Write the volume formula.
Substitute for V, w, and h.
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.

58. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 3
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool?
SOLUTION
V = lwh
21,600 = l
21,600 = l 360
Write the volume formula.
Substitute for V, w, and h.
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.

59. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 3
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool?
SOLUTION
V = lwh
21,600 = l
21,600 = l 360
Write the volume formula.
Substitute for V, w, and h.
Simplify.
Write a related division equation
Apply the formula V = l w h to find volumes of rectangular prisms.

60. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 3
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool?
SOLUTION
V = lwh
21,600 = l
21,600 = l 360
l = 21,
Write the volume formula.
Substitute for V, w, and h.
Simplify.
Write a related division equation
Apply the formula V = l w h to find volumes of rectangular prisms.

61. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 3
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool?
SOLUTION
V = lwh
21,600 = l
21,600 = l 360
l = 21,
Write the volume formula.
Substitute for V, w, and h.
Simplify.
Write a related division equation
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.

62. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 3
Using the Formula for Volume
Aquariums
A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool?
SOLUTION
V = lwh
21,600 = l
21,600 = l 360
l = 21,
l = 60
Write the volume formula.
Substitute for V, w, and h.
Simplify.
Write a related division equation
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.

63. Apply the formula V = l w h to find volumes of rectangular prisms.
EXAMPLE 3
Using the Formula for Volume
ANSWER
The length of the pool is 60 meters.
Apply the formula V = l w h to find volumes of rectangular prisms.

64. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
Apply the formula V = l w h to find volumes of rectangular prisms.

65. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
Apply the formula V = l w h to find volumes of rectangular prisms.

66. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool?
Apply the formula V = l w h to find volumes of rectangular prisms.

67. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool?
SOLUTION
Apply the formula V = l w h to find volumes of rectangular prisms.

68. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool?
SOLUTION
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.

69. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.

70. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool?
SOLUTION
V = lwh
Write the volume formula.
Substitute for V, w, and h.
Apply the formula V = l w h to find volumes of rectangular prisms.

71. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool?
SOLUTION
V = lwh
3,750 = l
Write the volume formula.
Substitute for V, w, and h.
Apply the formula V = l w h to find volumes of rectangular prisms.

72. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool?
SOLUTION
V = lwh
3,750 = l
Write the volume formula.
Substitute for V, w, and h.
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.

73. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool?
SOLUTION
V = lwh
3,750 = l
3,750 = l 75
Write the volume formula.
Substitute for V, w, and h.
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.

74. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool?
SOLUTION
V = lwh
3,750 = l
3,750 = l 75
Write the volume formula.
Substitute for V, w, and h.
Simplify.
Write a related division equation
Apply the formula V = l w h to find volumes of rectangular prisms.

75. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool?
SOLUTION
V = lwh
3,750 = l
3,750 = l 75
l = 3,
Write the volume formula.
Substitute for V, w, and h.
Simplify.
Write a related division equation
Apply the formula V = l w h to find volumes of rectangular prisms.

76. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool?
SOLUTION
V = lwh
3,750 = l
3,750 = l 75
l = 3,
Write the volume formula.
Substitute for V, w, and h.
Simplify.
Write a related division equation
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.

77. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
In Exercises 4 and 5, the solids are rectangular prisms.
4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool?
SOLUTION
V = lwh
3,750 = l
3,750 = l 75
l = 3,
l =50
Write the volume formula.
Substitute for V, w, and h.
Simplify.
Write a related division equation
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.

78. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
ANSWER
The length of the pool is 50 meters.
Apply the formula V = l w h to find volumes of rectangular prisms.

79. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub?
Apply the formula V = l w h to find volumes of rectangular prisms.

80. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
Apply the formula V = l w h to find volumes of rectangular prisms.

81. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.

82. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
V = lwh
Write the volume formula.
Apply the formula V = l w h to find volumes of rectangular prisms.

83. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
V = lwh
Write the volume formula.
Substitute for V, w, and h.
Apply the formula V = l w h to find volumes of rectangular prisms.

84. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
V = lwh
16 = h
Write the volume formula.
Substitute for V, w, and h.
Apply the formula V = l w h to find volumes of rectangular prisms.

85. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
V = lwh
16 = h
Write the volume formula.
Substitute for V, w, and h.
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.

86. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
V = lwh
16 = h
16 = 8 h
Write the volume formula.
Substitute for V, w, and h.
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.

87. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
V = lwh
16 = h
16 = 8 h
Write the volume formula.
Substitute for V, w, and h.
Simplify.
Write a related division equation
Apply the formula V = l w h to find volumes of rectangular prisms.

88. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
V = lwh
16 = h
16 = 8 h
h =
Write the volume formula.
Substitute for V, w, and h.
Simplify.
Write a related division equation
Apply the formula V = l w h to find volumes of rectangular prisms.

89. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
V = lwh
16 = h
16 = 8 h
h =
Write the volume formula.
Substitute for V, w, and h.
Simplify.
Write a related division equation
Simplify.
Apply the formula V = l w h to find volumes of rectangular prisms.

90. Apply the formula V = l w h to find volumes of rectangular prisms.
GUIDED PRACTICE
for Example 3
5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub?
SOLUTION
V = lwh
16 = h
16 = 8 h
h =
h = 2
Write the volume formula.
Substitute for V, w, and h.
Simplify.
Write a related division equation
Simplify.
ANSWER
The depth of the bathtub is 2 feet.
Apply the formula V = l w h to find volumes of rectangular prisms.

91. Apply the formula V = l w h to find volumes of rectangular prisms.
SKILL PRACTICE
for Lesson 10.7
8,000 cm³
6,851 in.³
330 in³
0.45 km³
mm³
yd³
To get the volume, you multiply the length, width, and height, not add them.
The correct answer is 420 ft³
Apply the formula V = l w h to find volumes of rectangular prisms.

92. Apply the formula V = l w h to find volumes of rectangular prisms.
SKILL PRACTICE
for Lesson 10.7
h = 2.5 ft
w = 2 cm
l = 20 m
Apply the formula V = l w h to find volumes of rectangular prisms.

93. Find the volume of the prism. 1. 2.
EXIT PASS
For use after Lesson 10.7
Find the volume of the prism. 1. 2.
6750 m 3
ANSWER
31,320 cm 3
ANSWER 3.
Find the volume of a rectangular prism that is feet by feet by feet. 7 8 3
ANSWER
168 ft 3
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94. Apply the formula V = l w h to find volumes of rectangular prisms.
ANIMATED MATH
for Lesson 10.7
Apply the formula V = l w h to find volumes of rectangular prisms.

95. Apply the formula V = l w h to find volumes of rectangular prisms.
LESSON QUIZ
for Lesson 10.7
Complete the lesson quiz.
Link
Show me your results when you are finished.
Apply the formula V = l w h to find volumes of rectangular prisms.