Practice calculating volume and surface area of prisms, cubes, and related solid figures.
Read each problem carefully. Use the correct formula, include units, and show your work in the space provided.
Finding space inside and outside 3D figures
Math - Grade 6-8
- 1
A cube has side length 4 cm. What is its volume?
- 2
A rectangular prism has length 8 m, width 3 m, and height 5 m. What is its volume?
- 3
A cube has side length 6 in. What is its surface area?
- 4
A rectangular prism has length 7 cm, width 2 cm, and height 4 cm. What is its surface area?
- 5
A fish tank is shaped like a rectangular prism with dimensions 10 in by 6 in by 8 in. How much water can it hold if filled to the top?
- 6
A gift box measures 9 cm by 5 cm by 3 cm. How much cardboard is needed to cover the outside of the box completely?
- 7
A storage bin has a base area of 24 square feet and a height of 5 feet. What is its volume?
- 8
A rectangular prism has volume 96 cubic centimeters, length 8 cm, and width 3 cm. What is its height?
- 9
A cube has a volume of 125 cubic meters. What is the side length of the cube?
- 10
Find the surface area of a rectangular prism with length 12 ft, width 4 ft, and height 2 ft.
- 11
A cereal box is 10 in tall, 3 in wide, and 2 in deep. Find both its volume and surface area.
- 12
A cube-shaped container has side length 9 cm. How many square centimeters of material are needed to make the container if it is closed on all sides?
- 13
A rectangular prism has dimensions 5 yd by 4 yd by 3 yd. If the height is doubled, what is the new volume?
- 14
A prism has a base area of 18 square inches and a height of 7 inches. What is its volume?
- 15
A rectangular prism has surface area 94 square centimeters, length 5 cm, width 4 cm, and height h. Find h.