Question

Question #59f8a

Answer 1

Yes to both parts.

Explanation:

I think this question is supposed to help you explore the concepts included. There's no one right way to do it.

I drew a picture of a cube and a picture of a long, skinny, rectangular prism.

If the cube is `2`in. x `2`in. x `2`in., it's surface area is `6*2`in`.^2=12`in`.^2`
Its volume is `8`in`.^3`

If the prism is `7`in. x `1`in. x `1`in., its surface area is `(2(1)+4(7))`in`.^2` or `(2+28)`in`.^2`= `30`in`.^2`

The volume of the thin prism is just `1` x `1` x `7`in`.^3`,
or `7`in`.^3`

The volume of the second figure is much smaller than that of the first, but its surface area is obviously larger.

Second question: A box with the measurements `2` in. x `4`in. x`3`in. has a volume of `24` in`.^3`, as does a box that is
`6` in. x `1` in. x `4` in.