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rectangular prism or square prism (cube)
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sphere
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triangular prism
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square pyramid
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rectangular prism
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cone
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triangular pyramid
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square prism or cube
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cylinder
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rectangular pyramid
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sphere 1 curved surface
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cone 1 face 1 vertex
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cylinder 1 curved surface 2 faces
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rectangular prism 6 faces 12 edges 8 vertices
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square prism 6 faces 12 edges 8 vertices
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triangular prism 5 faces 9 edges 6 vertices
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rectangular pyramid 5 faces 8 edges 5 vertices
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square pyramid 5 faces 8 edges 5 vertices
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triangular pyramid 4 faces 6 edges 4 vertices
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cylinder
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triangular pyramid
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cone
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rectangular prism
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square prism
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square pyramid
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triangular prism
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rectangular pyramid
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12 in. 2 face A: faces A & D: 2 in. 6 in. 2 in. 1 in. 6 in. × 2 in. = 24 in. 2 12 × 2 =
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6 in. 2 face B: faces B & E: 2 in. 6 in. 2 in. 1 in. 6 in. × 1 in. = 12 in. 2 6 × 2 =
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2 in. 2 face C: faces C & F: 2 in. 6 in. 2 in. 1 in. 2 in. × 1 in. = 4 in. 2 2 × 2 =
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40 in. 2 2 in. 6 in. 2 in. 1 in. 24 + 12 + 4 =
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64 cm 2 8 cm 8 cm × 8 cm = 384 cm 2 64 cm 2 × 6 = 64 × 6 384 2
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What is volume? the space contained in a three-dimensional figure
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What is the formula for volume? v = length × width × height
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What type of unit is used to measure volume? cubic units
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5 ft × 3 ft × 2 ft = 15 ft 2 × 2 ft = 5 ft 3 ft 2 ft 30 ft 3
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Peter is painting the outside of a storage cabinet that is 6 ft long, 4 ft wide, and 8 ft high. Find the surface area of the storage cabinet.
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(6 × 4) × 2 = (8 × 6) × 2 = (8 × 4) × 2 = 6 ft 4 ft 8 ft 24 × 2 = 48 × 2 = 32 × 2 = 48 ft 2 96 ft 2 64 ft 2 + 208 ft 2 208 ft 2 1
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Peter is painting the outside of a storage cabinet that is 6 ft long, 4 ft wide, and 8 ft high. Find the surface area of the storage cabinet. 208 ft 2
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Katie has a box that is 16 in. long, 14 in. wide, and 8 in. high. Karl’s box is 17 in. long, 12 in. wide, and 9 in. high. Whose box has the greater volume?
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Katie: Karl: 14 × 16 84 + 140 224 2 16 in. × 14 in. × 8 in. 17 in. × 12 in. × 9 in. 1 224 × 8 1,792 31 in. 3
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Katie: Karl: 12 × 17 84 + 120 204 1 1,792 in. 3 17 in. × 12 in. × 9 in. 1 204 × 9 1,836 3 in. 3 1,836 in. 3
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Katie has a box that is 16 in. long, 14 in. wide, and 8 in. high. Karl’s box is 17 in. long, 12 in. wide, and 9 in. high. Whose box has the greater volume? Karl’s box 1,836 in. 3 > 1,792 in. 3
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Colin planted a garden 100 ft long and 50 ft wide. What is the area of his garden? 100 × 50 = 5,000 ft 2
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Colin plans to put a fence around the garden. How much fencing will he need? (100 × 2) + (50 × 2) = 200 + 100 = 300 ft
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