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

If a prism has a height of 10 cm and a base area of 20 cm², what is its volume?

Back

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

Front

What is the difference between cubic units and square units?

Back

Cubic units measure volume (3D), while square units measure area (2D).

Front

How do you find the volume of a rectangular prism?

Back

Volume = Length × Width × Height

Front

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

Back

Volume = 5 cm × 4 cm × 3 cm = 60 cm³

Front

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

Back

Volume = π × radius² × height = 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 triangular prism with a base area of 12 cm² and a height of 8 cm?

Back

Volume = Base Area × Height = 12 cm² × 8 cm = 96 cm³

Front

What is the volume of a prism if the base area is 15 cm² and the height is 10 cm?

Back

Volume = Base Area × Height = 15 cm² × 10 cm = 150 cm³