Volume of Prisms

Front

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

Back

Volume = Base Area × Height

Front

What does the term 'Base Area' refer to in the context of prisms?

Back

Base Area is the area of the base shape of the prism.

Front

If a rectangular prism has a length of 5 cm, width of 3 cm, and height of 4 cm, what is its volume?

Back

Volume = 5 cm × 3 cm × 4 cm = 60 cm³

Front

What is the volume of a triangular prism with a base area of 10 cm² and a height of 5 cm?

Back

Volume = Base Area × Height = 10 cm² × 5 cm = 50 cm³

Front

How do you calculate the volume of a cylinder?

Back

Volume = π × radius² × height

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 7 cm?

Back

Volume = π × (3 cm)² × 7 cm ≈ 197.92 cm³

Front

What is the significance of rounding in volume calculations?

Back

Rounding is important for simplifying answers to a practical number of decimal places.

Front

If a prism has a volume of 200 cm³ and a base area of 50 cm², what is its height?

Back

Height = Volume ÷ Base Area = 200 cm³ ÷ 50 cm² = 4 cm

Front

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

Back

Volume = side³ = 4 cm × 4 cm × 4 cm = 64 cm³

Front

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

Back

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