What is the ratio G of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled?
Choose one
A) 1/4
B) 3/8
C) 1/2
D) 3/5
E) 2
One side surface area of a cube = x*x = x^2   Total 6 sides = 6x^2   As for the rectangular, Height (H) and Width (W) are same as Cube, x. Only Length = 2x.   L x H = 2x * x = 2x^2 ----&gt; 4 sides = 2x^2 * 4 = 8x^2   W * H = x * x = x^2 ------&gt; 2 sides = x^2 * 2 = 2x^2   Total 6 sides = 8x^2 + 2x^2 = 10x^2   Ratio of cube area to rectangular area G= 6x^2 / 10x^2 ----&gt; 6/10 ----&gt; 3/5 (3/5)
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What is the ratio G of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled?