Volume of Prisms and Pyramids

Front

What is the formula for the volume of a prism?

Back

Volume = Base Area × Height

Front

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) × Base Area × Height

Front

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

Back

Base Area = (1/2) × base × height of the triangle.

Front

What is the volume of a rectangular prism with length 5 cm, width 4 cm, and height 3 cm?

Back

Volume = 5 cm × 4 cm × 3 cm = 60 cm³.

Front

If a triangular prism has a base area of 12 cm² and a height of 10 cm, what is its volume?

Back

Volume = 12 cm² × 10 cm = 120 cm³.

Front

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

Back

Volume = π × (3 cm)² × 5 cm ≈ 141.37 cm³.

Front

How do you calculate the volume of a prism with a polygonal base?

Back

Volume = Base Area × Height, where Base Area is calculated based on the shape of the polygon.

Front

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

Back

Volume = (1/3) × (4 cm × 4 cm) × 6 cm = 32 cm³.

Front

If the base area of a prism is 20 m² and its height is 5 m, what is the volume?

Back

Volume = 20 m² × 5 m = 100 m³.

Front

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

Back

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