Volume of Prisms

Front

What is the formula for finding the volume of a rectangular prism?

Back

Volume = length × width × height

Front

What is the unit of measurement for volume?

Back

Cubic units (e.g., cubic meters, cubic feet, cubic yards) are used to measure volume.

Front

How do you find the volume of a triangular prism?

Back

Volume = (Base Area × Height) of the prism.

Front

What is the base area of a triangle with a base of 10 cm and a height of 5 cm?

Back

Base Area = (1/2) × base × height = (1/2) × 10 cm × 5 cm = 25 cm².

Front

If a prism has a volume of 100 cm³ and a base area of 20 cm², what is its height?

Back

Height = Volume / Base Area = 100 cm³ / 20 cm² = 5 cm.

Front

What is the volume of a rectangular prism with length 4 m, width 3 m, and height 2 m?

Back

Volume = 4 m × 3 m × 2 m = 24 m³.

Front

What is the volume of a prism with a base area of 15 m² and a height of 10 m?

Back

Volume = Base Area × Height = 15 m² × 10 m = 150 m³.

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

What is the volume of a cube with a side length of 4 inches?

Back

Volume = side³ = 4 in × 4 in × 4 in = 64 in³.

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.