Volumes of Prisms and Cylinders

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 cylinder?

Back

Volume = πr²h

Front

What does volume measure?

Back

Volume measures the amount of space an object occupies.

Front

How do you find the volume of a triangular prism?

Back

Volume = (Base Area × Height) of the prism.

Front

What is the volume of a prism with a base area of 20 cm² and a height of 10 cm?

Back

Volume = 20 cm² × 10 cm = 200 cm³

Front

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?

Back

Volume = π(3 cm)²(5 cm) ≈ 141.37 cm³

Front

What is the relationship between the volume of a cylinder and its height?

Back

Volume increases linearly with height if the radius is constant.

Front

What is the volume of a cube with a side length of 4 cm?

Back

Volume = 4 cm × 4 cm × 4 cm = 64 cm³

Front

If two cylinders have the same height but different radii, how does their volume compare?

Back

The volume of the cylinder with the larger radius will be greater.

Front

What is the volume of a rectangular prism with dimensions 5 yd, 3 yd, and 2 yd?

Back

Volume = 5 yd × 3 yd × 2 yd = 30 yd³