Advertisement

### 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: $10{16/23}$.