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
V1/V2 = 120/3240 = 1/27 = s^3
the scale factor is s = 1/3
To find the scale factor, we need to compare the volumes of the two pyramids. The formula for the volume of a pyramid is V = (1/3)Ah, where A is the area of the base and h is the height.
Let's calculate the scale factor step by step:
Step 1: Find the ratio of the volumes.
Ratio of volumes = Volume of the right pyramid / Volume of the left pyramid
= 120 in^3 / 3240 in^3
= 0.037037...
Step 2: Round the ratio to the nearest hundredth.
Rounded ratio = 0.04
Therefore, the scale factor that maps the left pyramid to the right pyramid is approximately 0.04 or 4%.