Volume Mastery: Formulas & Unit Conversions for 8th Graders

A rectangular fish tank has a length of 2 meters, a width of 1 meter, and a height of 0.5 meters. What is the volume of the tank in cubic meters?

• 1 cubic meter

• 1.5 cubic meters

• 2 cubic meters

• 0.5 cubic meters

If the volume of a cube is 64 cubic centimeters, what is the length of one side of the cube?

• 8 centimeters

• 6 centimeters

• 2 centimeters

• 4 centimeters

A cylindrical water bottle has a radius of 3 cm and a height of 10 cm. Calculate the volume of the bottle in cubic centimeters. (Use π ≈ 3.14)

• 282.6 cm³

• 94.2 cm³

• 360 cm³

• 150 cm³

A box has a volume of 1200 cubic inches. If the height of the box is 10 inches, what is the area of the base of the box in square inches?

• 200

• 150

• 100

• 120

You have a swimming pool that is 25 feet long, 10 feet wide, and 5 feet deep. How many gallons of water can the pool hold? (1 cubic foot = 7.48 gallons)

• 5000 gallons

• 8000 gallons

• 12000 gallons

• 9340 gallons

A rectangular prism has a volume of 1500 cubic centimeters. If the length is 15 cm and the width is 10 cm, what is the height of the prism?

• 10 cm

• 12 cm

• 5 cm

• 20 cm

A cone has a radius of 4 cm and a height of 9 cm. What is the volume of the cone in cubic centimeters? (Use π ≈ 3.14)

• 120.48 cm³

• 75.36 cm³

• 200.96 cm³

• 150.72 cm³

You are filling a rectangular garden bed that is 4 feet long, 3 feet wide, and 2 feet deep with soil. How many cubic feet of soil do you need?

• 24 cubic feet

• 30 cubic feet

• 20 cubic feet

• 18 cubic feet

A tank can hold 500 liters of water. How many cubic meters is this? (1 cubic meter = 1000 liters)

• 1 cubic meter

• 0.5 cubic meters

• 0.25 cubic meters

• 250 liters

A cube has a side length of 5 meters. What is the volume of the cube in cubic meters?

• 25 cubic meters

• 150 cubic meters

• 125 cubic meters

• 100 cubic meters