Grade 5 Volume Challenges: Estimating & Applying Formulas

A fish tank is shaped like a rectangular prism. It measures 3 feet long, 2 feet wide, and 2 feet high. What is the volume of the tank in cubic feet?

• 6 cubic feet

• 10 cubic feet

• 12 cubic feet

• 8 cubic feet

A box of cereal has a volume of 1,200 cubic inches. If the box is 12 inches long and 10 inches wide, what is the height of the box?

• 12 inches

• 8 inches

• 10 inches

• 15 inches

A swimming pool is 25 feet long, 10 feet wide, and 5 feet deep. Estimate the volume of the pool in cubic feet.

• 1000 cubic feet

• 2000 cubic feet

• 1250 cubic feet

• 1500 cubic feet

You have a cylindrical container that holds 50 gallons of water. How many cubic inches of water does it hold? (Use the conversion 1 gallon = 231 cubic inches)

• 11550 cubic inches

• 10000 cubic inches

• 12000 cubic inches

• 9000 cubic inches

A garden shed is 8 feet long, 6 feet wide, and 5 feet high. What is the volume of the shed in cubic feet?

• 180 cubic feet

• 240 cubic feet

• 300 cubic feet

• 120 cubic feet

A rectangular box has a volume of 2,000 cubic centimeters. If the length is 20 cm and the width is 10 cm, what is the height of the box?

• 15 cm

• 10 cm

• 5 cm

• 25 cm

Estimate the volume of a basketball, which is approximately 9 inches in diameter. Use the formula for the volume of a sphere: V = 4/3 × π × r³.

• Approximately 300.25 cubic inches

• Approximately 500.50 cubic inches

• Approximately 381.70 cubic inches

• Approximately 250.00 cubic inches

A water tank is in the shape of a cube with each side measuring 4 feet. What is the volume of the tank in cubic feet?

• 80 cubic feet

• 64 cubic feet

• 48 cubic feet

• 32 cubic feet

A rectangular prism has a volume of 1,500 cubic inches. If the length is 25 inches and the height is 10 inches, what is the width?

• 5 inches

• 8 inches

• 12 inches

• 6 inches

A large aquarium is 5 feet long, 2 feet wide, and 3 feet high. How many gallons of water can it hold? (Use the conversion 1 cubic foot = 7.48 gallons)

• 150 gallons

• 300 gallons

• 224.4 gallons

• 180 gallons