The length of an edge of cube A is 5% greater than the length of an edge of cube B. If the volume of cube B is 27 cubic centimetres, then which of the following is nearest to the volume of cube A ?
A. 23.1
B. 24.33
C. 27.0125
D. 28.35
E. 31.25
Since 27 \(cm^3\) means side of cube B = 3 cm.
Side of cube A > 3. Hence volume of Cube A > 27
Only 'C', 'D' and 'E' are left.
Side of cube A = 3*1.05 = 3.15
Volume of Cube A = 3.15^3 = (3 + 0.15)^3
Answer E.
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