1. How much can you fit perfectly into a box?

2. VOLUME
The number of cubes that you count is called the VOLUME of your box.
So, what do you think VOLUME means?

3. *Always measured in units cubed (u3)
VOLUME
VOLUME is the amount of liquid or solid that will FILL a 3-Dimensional object!
*Always measured in units cubed (u3)

4. QUACK, I mean quick, DEFINITION
3-Dimensional objects are NOT FLAT.
They have 3 measurements:
Length
Width
Height

5. RECTANGULAR PRISM
Today we are finding the volume of 3-D objects called RECTANGULAR PRISMS, which are solid figures that have six faces that are all rectangles. Opposite faces are congruent and parallel.

6. VOLUME OF A RECTANGULAR PRISM
So, what if we wanted to find the volume of this classroom?

7. Luckily, we have a FORMULA for that! Volume = length × width × height

8. LET’S FIND THE VOLUME OF THIS RECTANGULAR PRISM
mm3
LET’S FIND THE VOLUME OF THIS RECTANGULAR PRISM
3 mm
2 mm
12 mm
V = l × w × h
V = 12 × 2 × 3
V = 72 mm3
V = 24 × 3

9. FIND THE VOLUME OF THIS RECTANGULAR PRISM:
V = l × w × h
V = 4 × 3 × 10
V = 120 in3
V = 12 × 10

10. FIND THE VOLUME OF THIS RECTANGULAR PRISM:
5 cm
5 cm
5 cm
V = l × w × h
V = 5 × 5 × 5
V = 25 × 5
V = 125 cm3

11. A cereal box has a length of 8 inches, a width of 1
A cereal box has a length of 8 inches, a width of 1.75 inches, and a height of inches? How much cereal will the box hold?
V = 8 × 1.75 ×
V = l × w × h
V = 14 ×
V = in3

12. Aggie’s bathroom has a tub in the shape of a rectangular prism with a length of 1.5 meters, a width of 0.5 meter, and a height of 0.4 meter. How many cubic meters of water can it hold?
V = l × w × h
V = 1.5 × 0.5 × 0.4
V = 0.3 m3
V = 0.75 × 0.4

13. FIND THE VOLUME OF THIS RECTANGULAR PRISM:
V = l × w × h
V = 11 × 9 × 40
40 in
V = 3,960 in3
V = 99 × 40
9 in

14. FIND THE VOLUME OF THIS RECTANGULAR PRISM:
V = l × w × h

15. Trailers that travel on the road behind trucks are rectangular prisms
Trailers that travel on the road behind trucks are rectangular prisms. A typical height for the inside of these trailers is 108 in. If the trailer is 8 ft wide and 20 ft long, what is the volume of the trailer?

16. An aquarium shaped like a rectangular prism has a length of 120 cm, a width of 60 cm, and a height of 100 cm. How much water is needed to fill the aquarium?

17. One last question:
A rectangular prism has a length of 2 in, a height of 5 in, and a width of 3 in. What is the volume of this rectangular prism?