Volume

Front

What is volume?

Back

Volume is the amount of space that 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 units?

Back

Volume = side³ = 3³ = 27 cubic units.

Front

If a box has a length of 4 cm, a width of 3 cm, and a height of 5 cm, what is its volume?

Back

Volume = 4 cm × 3 cm × 5 cm = 60 cubic centimeters.

Front

What units are used to measure volume?

Back

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

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

How does changing the height of a rectangular prism affect its volume?

Back

Increasing the height increases the volume, while decreasing the height decreases the volume.

Front

What is the volume of a rectangular prism with dimensions 2 m × 3 m × 4 m?

Back

Volume = 2 m × 3 m × 4 m = 24 cubic meters.

Front

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

Back

Area of the base = Volume ÷ height = 100 in³ ÷ 5 in = 20 in².

Front

What is the relationship between volume and capacity?

Back

Volume refers to the space an object occupies, while capacity refers to the amount of liquid a container can hold.