SOLUTION: S.A=236 in2 S.A=531 in2 V=702 in3 What is the volume of the smaller figure?

Algebra.Com
Question 1153762: S.A=236 in2
S.A=531 in2
V=702 in3
What is the volume of the smaller figure?

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The problem should state that the two figures are similar; otherwise the problem makes no sense....

Assuming they are similar....

The ratio of surface areas is



That means the scale between the two figures is 2:3; and the ratio of volumes 2^3:3^3 = 8:27.

The volume of the larger is 702; the volume of the smaller is




RELATED QUESTIONS

The surface areas of two similar figures are 36 in2 and 49 in2. If the volume of the... (answered by josgarithmetic,Edwin McCravy)
A square pyramid has a base area of 81 in2 and a volume of 162 in3. What is the height of (answered by josgarithmetic)
The volume of a rectangular prism is 96 in3. If the area of the base is 12 in2, find its... (answered by ikleyn)
When air is pumped into a tire, the pressure required varies inversely as the volume of... (answered by Alan3354)
The area of the top of a rectangular box is 252 in2, the area of the front of the box is... (answered by josgarithmetic,ikleyn)
The area of the top of a rectangular box is 252 in2, the area of the front of the box is... (answered by ikleyn)
The area of the base of a fish tank is 90 in2. If the volume of the fish tank is 900... (answered by ankor@dixie-net.com)
A rectangular piece of sheet metal with an area of 1,600 in2 is to be bent into a... (answered by josgarithmetic)
The net of a prism is shown on the coordinate plane. What is the surface area of the... (answered by Alan3354)