Question

Find the ratio of the surface area to the volume of a cube with sides of length 5.

Answer 1

Answer: 6 : 5

Step-by-step explanation:

Let a represent the length of a cube , then the surface area is calculated by the formula :

$6a^{2}$

Substituting the value of the length given , then

A = 6($5^{2}$)

A = 6 (25)

A = 150

Then the volume is calculated with the formula :

V = $a^{3}$

Substituting the value of a , we have

V = $5^{3}$

V = 125

Therefore : the ratio of the surface area to the volume is given by

150 : 125

in reduced form , we have

6 : 5