Volume of Prisms and Cylinders

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 × Radius² × Height

Front

What is the volume of a triangular prism with a base area of 10 m² and a height of 3 m?

Back

Volume = 10 m² × 3 m = 30 m³

Front

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

Back

Volume = 4 m × 3 m × 5 m = 60 m³

Front

What is the volume of a cube with side length 6 cm?

Back

Volume = Side³ = 6 cm × 6 cm × 6 cm = 216 cm³

Front

How do you convert cubic centimeters to cubic meters?

Back

1 m³ = 1,000,000 cm³

Front

What is the volume of a cylinder with a radius of 2 m and a height of 5 m?

Back

Volume = π × (2 m)² × 5 m ≈ 62.83 m³

Front

If a rectangular prism has a volume of 120 cm³ and a height of 4 cm, what is the base area?

Back

Base Area = Volume ÷ Height = 120 cm³ ÷ 4 cm = 30 cm²

Front

What is the volume of a cylinder with a diameter of 10 cm and a height of 7 cm?

Back

Volume = π × (5 cm)² × 7 cm ≈ 1098.17 cm³

Front

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

Back

The volume of a prism is directly proportional to its base area and height.