Volume Practice

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 3 cm?

Back

Volume = 3 cm × 3 cm × 3 cm = 27 cm³.

Front

What units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic meters (m³), and cubic inches (in³).

Front

If a box has a length of 4 cm, a width of 3 cm, and a height of 2 cm, what is its volume?

Back

Volume = 4 cm × 3 cm × 2 cm = 24 cm³.

Front

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

Back

Volume = π × radius² × height = π × (2 cm)² × 5 cm ≈ 62.83 cm³.

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3) × π × radius³.

Front

How does the volume of a rectangular prism change if you double its dimensions?

Back

The volume increases by a factor of 8 (2³) because volume is proportional to the cube of the dimensions.

Front

What is the volume of a prism with a base area of 10 cm² and a height of 4 cm?

Back

Volume = base area × height = 10 cm² × 4 cm = 40 cm³.

Front

If a container holds 50 liters of water, what is its volume in cubic centimeters?

Back

1 liter = 1000 cm³, so 50 liters = 50,000 cm³.