Rectangular Prisms

Front

What is a rectangular prism?

Back

A three-dimensional shape with six rectangular faces, where opposite faces are equal.

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

If a rectangular prism has a length of 2 in, a width of 2 in, and a height of 2 in, what is its volume?

Back

8 in³.

Front

What is the unit of volume for cubic measurements?

Back

Cubic units, such as cubic inches (in³), cubic centimeters (cm³), or cubic millimeters (mm³).

Front

If the volume of a rectangular prism is 24 cm³ and the height is 3 cm, what is the area of the base?

Back

Area of the base = Volume ÷ Height = 24 cm³ ÷ 3 cm = 8 cm².

Front

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

Back

The volume increases as any of the dimensions (length, width, height) increase.

Front

If a rectangular prism has a volume of 12 mm³ and a height of 2 mm, what is the base area?

Back

Base area = Volume ÷ Height = 12 mm³ ÷ 2 mm = 6 mm².

Front

What is the formula to find the surface area of a rectangular prism?

Back

Surface Area = 2(length × width + length × height + width × height).

Front

If a rectangular prism has a length of 4 cm, width of 3 cm, and height of 2 cm, what is its surface area?

Back

Surface Area = 2(4 cm × 3 cm + 4 cm × 2 cm + 3 cm × 2 cm) = 2(12 cm² + 8 cm² + 6 cm²) = 2(26 cm²) = 52 cm².

Front

What happens to the volume of a rectangular prism if you double its height?

Back

The volume also doubles, assuming the length and width remain the same.