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

1 Answer
Nov 4, 2015

# 0,75 "cm"^-1#

Explanation:

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

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

Second, calculate the volume

#"V" = "s"*"hauteur" = 64*8 = 512 "cm"^3#

Finally, the surface to volume ratio R :

#"R" ="S"/"V"= 384/512 = 0,75 "cm"^-1#