Volume Review

Front

What is volume?

Back

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

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

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

Back

Volume = 4 × 4 × 4 = 64 cubic units.

Front

If a rectangular prism has a length of 5 units, width of 2 units, and height of 3 units, what is its volume?

Back

Volume = 5 × 2 × 3 = 30 cubic units.

Front

What is the volume of a prism with a base area of 10 square units and a height of 5 units?

Back

Volume = base area × height = 10 × 5 = 50 cubic units.

Front

What is the unit of measurement for volume?

Back

Common units for volume include cubic centimeters (cm³), cubic meters (m³), and liters.

Front

How many cubic units are in a cube with a side length of 3 cm?

Back

Volume = 3 × 3 × 3 = 27 cubic centimeters.

Front

What is the total volume of two boxes measuring 10 in × 5 in × 2 in and 8 in × 4 in × 3 in?

Back

Volume of first box = 10 × 5 × 2 = 100 cubic inches; Volume of second box = 8 × 4 × 3 = 96 cubic inches; Total volume = 100 + 96 = 196 cubic inches.

Front

If a rectangular prism has a volume of 48 cubic units and a height of 4 units, what is the area of the base?

Back

Base area = Volume ÷ height = 48 ÷ 4 = 12 square units.

Front

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

Back

Volume = π × radius² × height = π × 3² × 5 ≈ 47.12 cubic units.