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3-D Figures Surface Area and Volume

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Presentation on theme: "3-D Figures Surface Area and Volume"— Presentation transcript:

1 3-D Figures Surface Area and Volume
Jeopardy 3-D Figures Surface Area and Volume

2 Fill it or Wrap it Seeing 3-D Pump up the Volume Throw me A Net! Long Winded 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

3 Question 1 What is surface area? Answer

4 Answer 1 The sum of all the areas of the faces Back to Grid

5 Question 2 What is volume? Answer

6 Answer 2 The amount of cubic units that a 3-D figure can hold.
Back to Grid

7 Question 3 What is the formula for finding volume of a rectangular prism? Explain what the variables mean in the formula. Answer

8 Answer 3 V=Bh or V=LxWxH B = Area of the Base Back to Grid

9 Question 4 How many faces, edges and vertices does a rectangular pyramid have? Answer

10 Answer 4 Faces = 5 Edges = 8 Vertices = 5 Back to Grid

11 Question 5 Why is area expressed in squared units? Answer

12 Answer 5 Because you are multiplying 2 dimensions. example:
2 x 2 = 22 therefore, cm x cm = cm2 2cm Back to Grid

13 Question 6 What is the surface area of the following: 5ft 3ft 8ft

14 Answer 6 158 ft2 Back to Grid

15 Question 7 Find the volume: 8cm 8cm 24cm Answer

16 Answer 7 1,536 cm3 Back to Grid

17 Question 8 Identify the Triangular Prism: A. B. C. D. Answer

18 Answer 8 B. Back to Grid

19 Question 9 What is the Surface Area of the pyramid? Answer

20 Answer 9 672 𝑐𝑚 2 Back to Grid

21 Question 10 A shoebox has dimensions of 8 in. by 4 in. by 4 in.? Compare and contrast its surface area to its volume. Answer

22 Answer 10 Volume is 128 cubic inches and Surface Area is 160 square inches. Both measurements that use dimensions of the box. One is how much it takes to wrap the box and the other is how much to fill the box. Back to Grid

23 Question 11 What is the surface area of the following: Answer

24 Answer 11 = 280 square meters Back to Grid

25 Question 12 Find the volume: Answer

26 Answer 12 11.25 x 8 = 90 cubic cm Back to Grid

27 Question 13 Give the specific name to the following object. Answer

28 Answer 13 Net of a rectangular pyramid Back to Grid

29 Question 14 Give the specific name to the following object? Answer

30 Answer 14 Net of a triangular prism Back to Grid

31 Question 15 A plumber digs a rectangular hole in the ground to install water pipes. The hole is dug straight down and has parallel sides. If the hole is 3 meters deep, 1.5 meters wide, and 2 meters long, What amount of dirt must be removed? Answer

32 Answer 15 9 m3 Back to Grid

33 Question 16 You are wrapping a gift box that is 15” long, 12” wide, and 4” deep. How many square inches of wrapping paper will the cover the entire box? Answer

34 Answer 16 576 sq. in. Back to Grid

35 Question 17 Mike buys mulch for his flower gardens each fall. How many cubic feet of mulch can he bring home if his truck bed is 5ft x 8ft x 2ft? Answer

36 Answer 17 80ft3 Back to Grid

37 Question 18 – Double Jeopardy!
How much paint is needed to fill a container shaped like a rectangular prism that has a height of 8.5 inches, a length of of 10.2 and a width of 2.5 inches? Answer

38 Answer 18 cubic inches Back to Grid

39 Question 19 What formula is used to find volume of a triangular prism?
How does this formula relate to the volume formula for a rectangular prism? Answer

40 Answer 19 V = ½ LWH A triangular prism has a volume that is 1/2 that of a rectangular prism with the same dimensions. Back to Grid

41 Question 20 Explain the difference between Surface Area and Volume?

42 Answer 20 Surface Area is measured in square units
Volume is measured in cubic units Surface Area is the amount of space to cover an object and Volume is the amount of space to fill an object. Back to Grid

43 Question 21 Calculate the area of the label that wraps a can shaped like a rectangular prism with a length of 4 inches, a width of 3.5 inches and a height of 8 inches. Answer

44 Answer 21 148 sq. in. Back to Grid

45 Question 22 How much cereal could a container shaped like a rectangular prism hold that has a width of 4 inches, a length 8.5 inches and a height of 10 inches? Answer

46 Answer 22 340 in3 Back to Grid

47 Question 23 An aquarium is shaped like a rectangular prism with a length of 18 in. a height of 15 in and a width of 12 in. The water is 2 ½ inches below the top. What is the volume of the water in the aquarium? Answer

48 Answer 23 2700 cubic inches Back to Grid

49 Question 24 The height of a square pyramid is 10.5 ft with a side length of 12 ft. What is the surface area of the pyramid? Answer

50 Answer 24 396 square feet Back to Grid

51 Question 25 AMC Theatre is looking to change their concession products. Below are two potential containers for popcorn. If the price will be the same for each, which container would give you more for your money? Which container will use more cardboard to create it? 6 in 18 in 8in Answer 2 in 1.5in 3.5in

52 Answer 25 The shorter rectangular prism that is 8 in. tall because it holds 96 cubic inches and the taller prism only holds 94.5 cubic inches. The taller rectangular prism would need more cardboard because it needs square inches while the shorter prism needs 152 square inches. Back to Grid

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