# What is the surface area to volume ratio for a cube that measures 8 cm on each side?

Nov 4, 2015

$0 , 75 {\text{cm}}^{-} 1$

#### Explanation:

First, you have to calculate the surface of your cube.

Surface of one face : ${\text{s" = 8*8=64 "cm}}^{2}$
Total surface (surface of one side multiplied by the number of
sides) : ${\text{S" =64*6=384 "cm}}^{2}$

Second, calculate the volume

${\text{V" = "s"*"hauteur" = 64*8 = 512 "cm}}^{3}$

Finally, the surface to volume ratio R :

${\text{R" ="S"/"V"= 384/512 = 0,75 "cm}}^{-} 1$