Worksheet Volume of Pyramids and Rectangular Prisms

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) × base area × height.

Front

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

Back

Volume = 5 × 4 × 3 = 60 cm³.

Front

If a pyramid has a base area of 20 cm² and a height of 9 cm, what is its volume?

Back

Volume = (1/3) × 20 × 9 = 60 cm³.

Front

What is the relationship between the volume of a rectangular prism and a pyramid with the same base area and height?

Back

The volume of the pyramid is one-third the volume of the rectangular prism.

Front

How do you find the base area of a rectangular prism?

Back

Base area = length × width.

Front

What units are used to measure volume?

Back

Cubic units (e.g., cm³, m³, in³).

Front

If the dimensions of a rectangular prism are doubled, how does the volume change?

Back

The volume increases by a factor of 8.

Front

What is the volume of a rectangular prism with a base area of 50 cm² and a height of 4 cm?

Back

Volume = 50 × 4 = 200 cm³.

Front

What is the volume of a pyramid with a square base of side length 4 cm and a height of 6 cm?

Back

Base area = 4 × 4 = 16 cm²; Volume = (1/3) × 16 × 6 = 32 cm³.