Volume Daily Grade Review

Front

What is volume?

Back

Volume is the amount of space an object occupies, measured in cubic units.

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

How do you find the height of a rectangular prism if you know the volume and the base area?

Back

Height = Volume ÷ Base Area.

Front

What is the volume of a cube with a side length of 4 cm?

Back

Volume = side³ = 4 cm × 4 cm × 4 cm = 64 cubic cm.

Front

If a box has a volume of 36 cubic units and a base area of 12 square units, what is the height?

Back

Height = Volume ÷ Base Area = 36 ÷ 12 = 3 units.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Volume = π × radius² × height = π × 3² × 5 ≈ 141.37 cubic cm.

Front

What is the volume of a sphere with a radius of 2 cm?

Back

Volume = (4/3) × π × radius³ = (4/3) × π × 2³ ≈ 33.51 cubic cm.

Front

How many cubic centimeters are in a cubic meter?

Back

1 cubic meter = 1,000,000 cubic centimeters.

Front

What is the volume of a cake that is 10 inches in diameter and 4 inches tall?

Back

Volume = π × (radius)² × height = π × (5)² × 4 ≈ 62.83 cubic inches.

Front

If a box has a volume of 100 cubic inches and a height of 5 inches, what is the base area?

Back

Base Area = Volume ÷ Height = 100 ÷ 5 = 20 square inches.