Volume of Prisms and Cylinders

Front

What is the formula for the volume of a prism?

Back

The volume of a prism is calculated using the formula: Volume = Base Area × Height.

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is calculated using the formula: Volume = π × r² × h, where r is the radius and h is the height.

Front

Define 'Base Area' in the context of prisms.

Back

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

Front

What units are used to measure volume?

Back

Volume is typically measured in cubic units, such as cubic centimeters (cm³), cubic meters (m³), or cubic inches (in³).

Front

How do you find the volume of a rectangular prism?

Back

To find the volume of a rectangular prism, use the formula: Volume = Length × Width × Height.

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

If a cylinder has a radius of 3 cm and a height of 10 cm, what is its volume?

Back

Volume = π × r² × h = π × (3 cm)² × 10 cm = 90π cm³ (approximately 282.74 cm³).

Front

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

Back

The volume of a prism increases linearly with height; if the height doubles, the volume also doubles, assuming the base area remains constant.

Front

How do you convert cubic inches to cubic centimeters?

Back

To convert cubic inches to cubic centimeters, multiply by 16.387 (1 in³ = 16.387 cm³).

Front

What is the volume of a cylinder with a diameter of 4 cm and a height of 5 cm?

Back

First, find the radius: r = diameter/2 = 2 cm. Then, Volume = π × (2 cm)² × 5 cm = 20π cm³ (approximately 62.83 cm³).