Asked by Peep
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.
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.
Answers
Answered by
R_scott
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
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