Surface Area & Volume

An employee at at tent manufacturer is sewing together tents. Each tent is shaped like a triangular prism (including the floor). What shapes can the employee use for each tent?

• 3 rectangles and 2 triangles
• 2 rectangles and 3 triangles
• 4 rectangles and 1 circle
• 3 triangles and 1 rectangle

A prism is filled with 25 cubes with ½ unit side lengths. What is the volume of the prism in cubic units?

• 3 ⅛ cubic units
• 3 ⅓ cubic units
• 12 ⅛ cubic units
• 12 ½ cubic units

A rectangular prism measures 10 inches by 6 inches by 6 inches. What is its surface area?

• 360 square inches
• 312 square inches
• 240 square inches
• 192 square inches

Jami covered the lateral faces of the wooden box shown with felt. Which expression shows the amount of felt, in square centimeters, that she used to cover the lateral faces?

• 2(8 x 4) + 2(8 x 10)
• 2(8 x 4) + 2(10 x 4)
• 2(10 x 8) + 2(10 x 4)
• 2(10 x 8) + 2(10 x 4) + 2(8 x 4)

A moving box is a rectangular prism with a width of 24 inches and a height of 18½ inches. The volume of the box is 10, 565 cubic inches. What is the length of the box?

• 12 inches
• 24 inches
• 42 inches
• 432 inches

A square pyramid has a base with a side length of 7.5 feet and lateral faces with heights of 16 feet. Which expression could be used to find the surface area, in square feet, of the pyramid?

• 7.5² x ½ x 7.5 x 16
• 7.5² + ½ x 7.5 x 16
• 7.5 x 4 x ½ x 7.5 x 16
• 7.5² + 4 x ½ x 7.5 x 16

As part of her art project, Rebekah is painting the lateral faces of 2 identical triangular pyramids. Each lateral face has a base of 6 centimeters and a height of 8.5 centimeters. What is the total area that she will paint?

• 25.5 square centimeters
• 51 square centimeters
• 76.5 square centimeters
• 153 square centimeters

Carly cut open a packing box that was shaped like a rectangular prism to see the net. What shapes did Carly see?

• 1 triangle and 2 rectangles
• 1 square and 3 rectangles
• 6 rectangles only
• 6 triangles only

Melanie bought a box of energy-efficient light bulbs for her bedroom. The box has dimensions of 10 inches by 5½ inches by 6 inches. What is the volume of this box?

• 330 in.³
• 300½ in.³
• 296 in.³
• 21½ in. ³

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

A rectangular gift box measures 8 inches by 10 inches by 3 inches. What is its surface area?

• 184 in.²
• 214 in.²
• 240 in.²
• 268 in.²