Find the scale factor, to the nearest hundredth, that would map the hexagonal pyramid on the left to the hexagonal pyramid on the right.

Left Pyramid: V=3240 in^3
Right Pyramid: V=120 in^3

I tried a bunch of different answers but they were wrong.
27: I got this by dividing 120 from 3240
3: I took the cube root of 27
0.04: I did 1/27, got 0.0370370 and rounded that to 0.04
5.196: I took the cube root of 27

Could you please help me solve this? Thank you.

1 answer

you are close to the solution

the scale factor has to do with lengths ... not areas or volumes

you found the ratio of the volume
... and you correctly took the cube root to get the lengths ratio

the mapping is from the larger figure to the smaller
... so the scale factor is less than one

the volume is 1/27 ... so the scale factor is 1/3
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