Volume - Prism, Cylinder, Pyramid, Cone (CP)

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 cylinder?

Back

Volume = π × r² × h, where r is the radius and h is the height.

Front

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) × Base Area × Height

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × π × r² × h, where r is the radius and h is the height.

Front

What is the volume of a triangular prism with a base area of 8 cm² and a height of 2 cm?

Back

Volume = 8 cm² × 2 cm = 16 cm³.

Front

If a cone has a radius of 3 inches and a height of 4 inches, what is its volume?

Back

Volume = (1/3) × π × (3 in)² × (4 in) ≈ 37.7 in³.

Front

How do you determine which cylinder has a larger volume?

Back

Compare the base area and height of both cylinders using the formula for volume.

Front

What is the volume of a triangular pyramid with a base area of 12 mm² and a height of 6 mm?

Back

Volume = (1/3) × 12 mm² × 6 mm = 24 mm³.

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of the cone is one-third that of the cylinder.

Front

If a cylinder has a radius of 5 cm and a height of 10 cm, what is its volume?

Back

Volume = π × (5 cm)² × (10 cm) ≈ 785.4 cm³.