Question

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

5 : 4


120 : 1.2


2 : 1


: 6:5

Answer 1

Answer: 6 : 5

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