Counting Volume

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 units?

Back

Volume = 3 × 3 × 3 = 27 cubic units.

Front

If a rectangular prism has a length of 2 units, a width of 3 units, and a height of 4 units, what is its volume?

Back

Volume = 2 × 3 × 4 = 24 cubic units.

Front

What is the unit of measurement for volume?

Back

Cubic units (e.g., cubic centimeters, cubic meters, cubic inches).

Front

What is the volume of a prism with a base area of 5 square units and a height of 2 units?

Back

Volume = base area × height = 5 × 2 = 10 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 ≈ 62.83 cubic units.

Front

How does changing the height of a 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 prism with a base area of 10 square units and a height of 1 unit?

Back

Volume = base area × height = 10 × 1 = 10 cubic units.

Front

If a box has a volume of 12 cubic units and a height of 3 units, what is the area of its base?

Back

Base area = Volume ÷ height = 12 ÷ 3 = 4 square units.