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Math Help? Volume and Surface Area?

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Janet has a cube with a volume of 294 cubic inches. Pat has a cube with the surface area of 216 square inches. Which cube is bigger. 

Is this right? 

216 / 6 = 36 

36 / 4 = 9 

9 x 9 x 9 = 729 cubic inches 

This means that Pats cube is bigger.
 
 
asked Jul 19, 2014 in ALGEBRA 2 by anonymous

1 Answer

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The formula for the volume of the cube V = a3, where a is side of the length.

The formula for the surface area of the cube SA = 6a2, where a is side of the length.

The volume of the cube of Janet is 294 cube inches.

The surface area of the cube of Pat is 216 square inches.

6a2 = 216

a2 = 36

a = 6 inches.

The volume of the cube of Pat V = a3 = 63 = 216 cube inches.

Since 294 > 216, the cube of Janet is bigger than Pat's cube.

answered Jul 19, 2014 by casacop Expert

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