A cube has a volume of #15625# #cm^3#. What is the surface area in #cm^2#?

1 Answer
Mar 13, 2018

See a solution process below:

Explanation:

The formula for the volume of a cube is:

#V = s^3#

Where #s# is the length of one edge of the cube.

Substituting and solving for #s# gives:

#15625"cm^3" = s^3#

#root(3)(15625"cm"^3) = root(3)(s^3)#

#25"cm" = s#

The formula for the surface area of a cube is:

#A = 6s^2#

There are 6 sides to a cube and each side of the cube is a square with a area of #s xx s = s^2#

Substituting and calculating #A# gives:

#A = 6 xx (25"cm")^2#

#A = 6 xx 625"cm"^2#

#A = 3750"cm"^2#