Volume Challenges: Apply Formulas & Solve Word Problems

A fish tank is in the shape of a rectangular prism. It measures 2 feet in length, 1.5 feet in width, and 1.5 feet in height. What is the volume of the fish tank in cubic feet?

• 3 cubic feet

• 6 cubic feet

• 4.5 cubic feet

• 5 cubic feet

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

• 360 cubic inches

• 150.8 cubic inches

• 94.2 cubic inches

• 282.6 cubic inches

A box is 4 inches long, 3 inches wide, and 2 inches high. What is the volume of the box?

• 24 cubic inches

• 18 cubic inches

• 30 cubic inches

• 12 cubic inches

A swimming pool is 25 meters long, 10 meters wide, and 2 meters deep. How many cubic meters of water can the pool hold?

• 1000 cubic meters

• 500 cubic meters

• 250 cubic meters

• 750 cubic meters

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

• 180.96 cm³

• 120.48 cm³

• 150.72 cm³

• 200.00 cm³

A rectangular garden measures 6 meters by 4 meters and has a depth of 0.5 meters. What is the volume of soil needed to fill the garden?

• 8 cubic meters

• 15 cubic meters

• 10 cubic meters

• 12 cubic meters

A cube has a side length of 5 cm. What is the volume of the cube?

• 100 cm³

• 25 cm³

• 150 cm³

• 125 cm³

A storage container is in the shape of a rectangular prism with dimensions 3 feet by 2 feet by 1.5 feet. How much space does it occupy in cubic feet?

• 9 cubic feet

• 12 cubic feet

• 6 cubic feet

• 4.5 cubic feet

A cylindrical tank has a diameter of 8 feet and a height of 12 feet. What is the volume of the tank? (Use π ≈ 3.14)

• 602.88 cubic feet

• 450.00 cubic feet

• 500.24 cubic feet

• 700.56 cubic feet

A pyramid has a square base with a side length of 6 meters and a height of 9 meters. What is the volume of the pyramid?

• 54 cubic meters

• 90 cubic meters

• 108 cubic meters

• 72 cubic meters