Volume

Front

What is volume?

Back

Volume is the amount of space that a substance (solid, liquid, gas) occupies, measured in cubic units.

Front

What units are used to measure volume?

Back

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

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 3 units?

Back

Volume = 3 × 3 × 3 = 27 cubic units.

Front

What is the volume of a cylinder with a radius of 2 units and a height of 5 units?

Back

Volume = π × radius² × height = π × 2² × 5 = 20π cubic units.

Front

What is the volume of a sphere with a radius of 4 units?

Back

Volume = (4/3) × π × radius³ = (4/3) × π × 4³ = (64/3)π cubic units.

Front

What is the total volume of two identical cubes with a side length of 2 units?

Back

Total Volume = 2 × (2 × 2 × 2) = 16 cubic units.

Front

What is the volume of a rectangular box that is 4 units long, 3 units wide, and 2 units high?

Back

Volume = 4 × 3 × 2 = 24 cubic units.

Front

If a container holds 1 liter of water, what is its volume in cubic centimeters?

Back

1 liter = 1000 cubic centimeters (cm³).

Front

What is the volume of a cone with a radius of 3 units and a height of 6 units?

Back

Volume = (1/3) × π × radius² × height = (1/3) × π × 3² × 6 = 18π cubic units.