Surface Area & Volume Review

This is a diagram of Amya's swimming pool. She only wants to fill it half full of water. What is the volume of the water in the pool?

• 1,300 cubic meters

• 1,152 cubic meters

• 2,304 cubic meters

• 288 cubic meters

Find the surface area of the following square pyramid.

• 217 cm²

• 385 cm²

• 84 cm²

• 200 cm²

A triangular prism has a base with a side length of 12 cm, a length of 4 cm, and lateral faces with heights of 6 cm. What is the surface area of the triangular prism?

• 168 cm²

• 288 cm²

• 192 cm²

• 2016 cm²

A storage box is shaped like a rectangular prism, as shown below. Caydn stored ½ inch cubes in the box. How many cubes are needed to completed fill the box?

• 35 cubes

• 105 cubes

• 26 cubes

• 52 cubes

Find the volume of the prism.

• 0.025 m³

• 0.0025 m^3

• 0.25 m³

• 2.5 m³

In order to prepare a piece of ground for building a playground, a rectangle measuring 6 ½ feet long by 10 feet wide is marked off. Then the dirt within the rectangle must be dug out to a depth of 0.5 foot. Finally, the resulting space bust be filled with gravel. What is the volume of gravel needed, in cubic feet, to fill the space?

• 325 cubic feet

• 30 cubic feet

• 320 cubic feet

• 32½ cubic feet

What is the surface area of the triangular prism?

• 572 square mm

• 432 square mm

• 832 square mm

• 692 square mm

Jameson is covering a show box with fabric for a school book report. If the box is 12 inches long by 4 inches wide by 5 inches high, how much surface area does Jameson have to cover?

• 256 in²

• 240 in²

• 128 in²

• 276 in²

Austin is trying to wrap a gift for his pet dragon. the gift fits into a cube-shaped box with a side length of 7 inches. How many square inches of paper does he need to cover the box without the paper overlapping? Use the formula A = 6s² so that s equals the side length and A equals the surface area.

• 84 square inches

• 343 square inches

• 294 square inches

• 2,401 square inches

A right rectangular prism is packed with unit cubes of side length ¼ foot as shown. How many ¼ foot cubes make up the right rectangular prism?

• 24

• 12

• 32

• 8