If the sum of the lengths of the edges of a cube is 60, the volume of

Question

If the sum of the lengths of the edges of a cube is 60, the volume of the cube is

(A) 1,000
(B) 422
(C) 216
(D) 150
(E) 125

GMATinsight · Answer

Total Edges in a cube = 12  refer the figure below

If length of each edge = x then

i.e. Sum of lengths of all edges = 12*x = 60

i.e. x = 5

Volume Of Cube = Side^3

i.e. Volume of cube  = x^3 = 5^3 = 125

Answer: Option E

ScottTargetTestPrep · Answer

Since a cube has 12 edges, the length of each edge of the cube is 60/12 = 5. Thus, the volume of the cube is 5^3 = 125.

Answer: E

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