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 × r² × h, where r is the radius and h is the height.

Front

Define 'base area' in the context of prisms and cylinders.

Back

Base area is the area of the base shape of the prism or cylinder, which is multiplied by the height to find the volume.

Front

What units are used to measure volume?

Back

Cubic units (e.g., cm³, m³) are used to measure volume.

Front

How do you find the area of a rectangle?

Back

Area = Length × Width.

Front

How do you find the area of a triangle?

Back

Area = 1/2 × Base × Height.

Front

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

Back

The height of a prism directly affects its volume; increasing the height increases the volume.

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 rectangular prism with a length of 4 cm, width of 3 cm, and height of 2 cm?

Back

Volume = 4 cm × 3 cm × 2 cm = 24 cm³.

Front

What is the volume of a cube with a side length of 2 cm?

Back

Volume = Side³ = 2 cm × 2 cm × 2 cm = 8 cm³.