Jeopardy 3-D Figures Surface Area and Volume Fill it or Wrap it Seeing 3-D Pump up the Volume Throw me A Net! 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 Long Winded Question 1 What is surface area? Answer Answer 1 The sum of all the areas of the faces Back to Grid Question 2 What is volume? Answer Answer 2 The amount of cubic units that a 3-D figure can hold. Back to Grid Question 3 What is the formula for finding volume of a rectangular prism? Explain what the variables mean in the formula. Answer Answer 3 V=Bh or V=LxWxH B = Area of the Base Back to Grid Question 4 How many faces, edges and vertices does a rectangular pyramid have? Answer Answer 4 Faces = 5 Edges = 8 Vertices = 5 Back to Grid Question 5 Why is area expressed in squared units? Answer Answer 5 Because you are multiplying 2 dimensions. example: 2cm 2 2cm 2 x 2 = 2 therefore, 2 cm x cm = cm Back to Grid Question 6 What is the surface area of the following: 5ft 3ft 8ft Answer Answer 6 158 ft 2 Back to Grid Question 7 Find the volume: 8cm 8cm 24cm Answer Answer 7 3 1,536 cm Back to Grid Question 8 Identify the Triangular Prism: A. B. C. D. Answer Answer 8 B. Back to Grid Question 9 What is the Surface Area of the pyramid? Answer Answer 9 672 𝑐𝑚2 Back to Grid 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 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 Question 11 What is the surface area of the following: Answer Answer 11 50+50+30+30+60+60 = 280 square meters Back to Grid Question 12 Find the volume: Answer Answer 12 11.25 x 8 = 90 cubic cm Back to Grid Question 13 Give the specific name to the following object. Answer Answer 13 Net of a rectangular pyramid Back to Grid Question 14 Give the specific name to the following object? Answer Answer 14 Net of a triangular prism Back to Grid 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 Answer 15 3 9m Back to Grid 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 Answer 16 576 sq. in. Back to Grid 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 Answer 17 80ft 3 Back to Grid 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 Answer 18 216.75 cubic inches Back to Grid 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 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 Question 20 Explain the difference between Surface Area and Volume? Answer 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 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 Answer 21 148 sq. in. Back to Grid 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 Answer 22 340 in 3 Back to Grid 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 Answer 23 2700 cubic inches Back to Grid 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 Answer 24 396 square feet Back to Grid 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 2 in 1.5in 3.5in Answer 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 190.5 square inches while the shorter prism needs 152 square inches. Back to Grid