12.4 Volume of Prisms

Front

What is the formula for the volume of a prism?

Back

Volume = Base Area × Height

Front

What is the base area of a triangular prism with a base of 6 cm and a height of 4 cm?

Back

Base Area = (1/2) × base × height = (1/2) × 6 cm × 4 cm = 12 cm²

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = Length × Width × Height

Front

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

Back

Volume = 3 cm × 4 cm × 5 cm = 60 cm³

Front

What is the volume of a cylinder?

Back

Volume = π × radius² × height

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

Back

Volume = Base Area × Height = 20 cm² × 10 cm = 200 cm³

Front

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

Back

Volume = Base Area × Height = 10 cm² × 6 cm = 60 cm³

Front

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

Back

The volume of a prism is directly proportional to its height; if the height increases, the volume increases.

Front

What is the volume of a prism with a base area of 15 cm² and a height of 8 cm?

Back

Volume = Base Area × Height = 15 cm² × 8 cm = 120 cm³