Question

A regular pentagonal prism has 9-cm base edges. A larger, similar prism of the same material has 36-cm case edges. How does each indicated
measurement for the larger prism compare to the same measurement for the smaller prism?

A)volume
B) weight

Answer 1

the scaling factor of 1/4 affects the volume...

Answer 2

the base area of the smaller prism will be smaller.

Volume = base area x height

so the volume will be less...

hope it helps

Answer 3

only issue is how do i find the height

Answer 4

well you don't need to... as the question is asking which is affected....

the volume... or weight...

and I'd say the volume... for the reason above... smaller base area in the smaller prism

Answer 5

how do i calculate the volume for a pentagonal prism

Answer 6

i am confused on what i need to do to solve for this problem and how to do it

Answer 7

well the smaller measurements are 1/4 of the larger

so in terms of base area

the smaller will be (1/4)^2 smaller of 1/16 of the area of the large..

Answer 8

ok so was that how i needed to do the part about the volume

Answer 9

well then the volume scaling is

(1/4)^3 = 1/64

the volume of the smaller prism should be 1/64 of the volume of the large one.