Changing Attributes for Rectangular Prisms

Front

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

Back

Volume = length × width × height.

Front

If the height of a rectangular prism is doubled, how does the volume change?

Back

The volume is doubled.

Front

What happens to the volume of a rectangular prism if all dimensions are multiplied by a scale factor of 3?

Back

The volume increases by a factor of 3³, or 27 times.

Front

What is the relationship between the surface area and volume of a rectangular prism when the length is doubled?

Back

Doubling the length will double the volume but will not double the surface area.

Front

How do you calculate 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 in, width of 3 in, and height of 5 in, what is its volume?

Back

Volume = 4 × 3 × 5 = 60 cubic inches.

Front

What is the effect on the surface area if the height of a rectangular prism is increased while keeping the base dimensions constant?

Back

The surface area will increase.

Front

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

Back

The volume is reduced to 1/8 of the original volume.

Front

What is the surface area of a rectangular prism with dimensions 2 m, 3 m, and 4 m?

Back

Surface Area = 2(2×3 + 2×4 + 3×4) = 2(6 + 8 + 12) = 52 m².

Front

If the width of a rectangular prism is tripled, how does the volume change?

Back

The volume is tripled.