Question #59f8a

1 Answer
Feb 14, 2018

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.