Volumes of Prisms and Cylinders

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Front

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

Back

V = lwh, where l is the length, w is the width, and h is the height.

Front

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

Back

V = (Base Area) × Height.

Front

Define volume in the context of geometry.

Back

Volume is the amount of space an object occupies.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

V = π(3 cm)²(5 cm) = 45π cm³.

Front

If a rectangular prism has dimensions 2 m, 3 m, and 4 m, what is its volume?

Back

V = 2 m × 3 m × 4 m = 24 m³.

Front

What is the volume of a triangular prism with a base area of 10 cm² and a height of 6 cm?

Back

V = 10 cm² × 6 cm = 60 cm³.

Front

How does increasing the height of a cylinder affect its volume?

Back

Increasing the height increases the volume proportionally.

Front

What is the relationship between the radius and volume of a cylinder?

Back

Volume increases with the square of the radius (V ∝ r²).

Front

If two cylinders have the same height but different radii, which will have a larger volume?

Back

The cylinder with the larger radius will have a larger volume.