SOLUTION: Consider a cube with edges of length s . In simplest terms, what is the ratio of the number of cubic inches in the volume of a cube to the number of square inches in its surface ar
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Question 244890: Consider a cube with edges of length s . In simplest terms, what is the ratio of the number of cubic inches in the volume of a cube to the number of square inches in its surface area?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
The ratio is:
V/S = S/6
Consider a cube with sides of 3.
The volume (V) is 3*3*3
The Surface Area (S) is 6*3*3
The ratio of V/S = 3*3*3/6*3*3 = 3/6
The volume is 27 cubic inches.
The surface area is 54 square inches.
The ratio is 27/54 = 3/6 after you divide numerator and denominator by 9.
Now consider another cube with side of 14.
The volume is 14*14*14
The surface area is 6*14*14
The ratio of volume to surface area is:
14*14*14 / 6*14*14 = 14/6
The volume is 14^3 = 2744
The surface area is 6*14^2= 1176
The ratio of volume to surface area is 2744/1176 which is equivalent to 14/6 after you divide numerator and denominator by 196.
Your answer appears to be:
V/S = S/6
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