Discussion of Question with ID = 002 under Volume-and-Surface-Areas

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Question

What is the length of an edge of a cube if the ratio of volume to the total surface area is 41 : 23?

A

$10{16/23}$ units.

B

$12{5/22}$ units.

C

$8{23/25}$ units.

D

$12{3/5}$ units.

Soln.
Ans: a

The well-known relation for a cube is $S/V = 6/a$, which can be re-arranged to get $a = 6 × V/S$ = ${246/23}$, which is same as: $10{16/23}$.


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