Volume and Surface Area of Rectangular Prisms

Front

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

Back

Volume = length × width × height

Front

What is the formula for the surface area of a rectangular prism?

Back

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

Front

What is the unit of measurement for volume?

Back

Cubic centimeters (cm³), cubic inches (in³), etc.

Front

What is the unit of measurement for surface area?

Back

Square centimeters (cm²), square inches (in²), etc.

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

If a rectangular prism has a length of 10 in, width of 5 in, and height of 2 in, what is its surface area?

Back

Surface Area = 2(10 in × 5 in + 10 in × 2 in + 5 in × 2 in) = 2(50 in² + 20 in² + 10 in²) = 2(80 in²) = 160 in²

Front

What does it mean if a rectangular prism has a volume of 90 cm³?

Back

It means the space inside the prism can hold 90 cubic centimeters.

Front

How do you find the height of a rectangular prism if you know the volume and the base area?

Back

Height = Volume ÷ Base Area

Front

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

Back

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

Front

If the dimensions of a rectangular prism are doubled, how does the volume change?

Back

The volume increases by a factor of 2³ = 8.