Question

PLEASE HELP MEEEE

Jessica has 400 cm^3 of material. She uses 35cm^3 to make a right triangular prism. She wants to make a second prism that is a dilation of the first prism with a scale factor of 2.5
How much more material does Jessica need in order to make the second prism?
(THE ANSWER IS NOT 52.8)

Answer 1

Jessica has 400 cm^3 of material. She uses 35cm^3 to make a right triangular prism. She wants to make a second prism that is a dilation of the first prism with a scale factor of 2.5.

The volume of the first prism is 35 cm^3. Since the second prism is a dilation of the first prism with a scale factor of 2.5, its volume will be (2.5)^3 = 15.625 times greater than that of the first prism. Therefore, the volume of the second prism will be 35 x 15.625 = 546.875 cm^3.

To make the second prism, Jessica needs an additional material of 546.875 - 35 = 511.875 cm^3.

So Jessica needs an additional material of 511.875 cm^3 to make the second prism.

Explanation: