rectangular prism or square prism (cube)

sphere

triangular prism

square pyramid

rectangular prism

cone

triangular pyramid

square prism or cube

cylinder

rectangular pyramid

sphere 1 curved surface

cone 1 face 1 vertex

cylinder 1 curved surface 2 faces

rectangular prism 6 faces 12 edges 8 vertices

square prism 6 faces 12 edges 8 vertices

triangular prism 5 faces 9 edges 6 vertices

rectangular pyramid 5 faces 8 edges 5 vertices

square pyramid 5 faces 8 edges 5 vertices

triangular pyramid 4 faces 6 edges 4 vertices

cylinder

triangular pyramid

cone

rectangular prism

square prism

square pyramid

triangular prism

rectangular pyramid

12 in. 2 face A: faces A & D: 2 in. 6 in. 2 in. 1 in. 6 in. × 2 in. = 24 in × 2 =

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 =

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 =

40 in. 2 2 in. 6 in. 2 in. 1 in =

64 cm 2 8 cm 8 cm × 8 cm = 384 cm 2 64 cm 2 × 6 = 64 ×

What is volume? the space contained in a three-dimensional figure

What is the formula for volume? v = length × width × height

What type of unit is used to measure volume? cubic units

5 ft × 3 ft × 2 ft = 15 ft 2 × 2 ft = 5 ft 3 ft 2 ft 30 ft 3

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.

(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 ft ft 2 1

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

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?

Katie: Karl: 14 × in. × 14 in. × 8 in. 17 in. × 12 in. × 9 in × 8 1, in. 3

Katie: Karl: 12 × ,792 in in. × 12 in. × 9 in × 9 1,836 3 in. 3 1,836 in. 3

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

Colin planted a garden 100 ft long and 50 ft wide. What is the area of his garden? 100 × 50 = 5,000 ft 2

Colin plans to put a fence around the garden. How much fencing will he need? (100 × 2) + (50 × 2) = = 300 ft