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.
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
To find the scale factor that maps the left pyramid to the right pyramid, you need to compare the volumes of the pyramids.
First, let's calculate the scale factor by dividing the volume of the left pyramid by the volume of the right pyramid:
Scale factor = Volume of left pyramid / Volume of right pyramid
Scale factor = 3240 in^3 / 120 in^3
Calculating this will give us the actual scale factor. To get the answer to the nearest hundredth, we will round it.
Scale factor = 3240 / 120 = 27
Rounding this to the nearest hundredth will give us the final answer: 27.00.
Therefore, the scale factor that maps the left pyramid to the right pyramid is 27 to the nearest hundredth.