albrown0926
albrown0926 albrown0926
  • 20-12-2019
  • Mathematics
contestada

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

Respuesta :

bayosanuade
bayosanuade bayosanuade
  • 20-12-2019

Answer: 6 : 5

Step-by-step explanation:

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

[tex]6a^{2}[/tex]

Substituting the value of the length given , then

A = 6([tex]5^{2}[/tex])

A = 6 (25)

A = 150

Then the volume is calculated with the formula :

V = [tex]a^{3}[/tex]

Substituting the value of a , we have

V = [tex]5^{3}[/tex]

V = 125

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

150 : 125

in reduced form , we have

6 : 5

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