Problema Solution
six times the volume of a cube is equal to the sum of its surface area and the total length of its twelve edges. What are the dimentions of the cube?
Answer provided by our tutors
suppose edge = a
then
6a^3 = 6a^2 + 12a
6a^3 = 6a(a+2)
a^2 = a +2
a^2 - a - 2 = 0
(a-2)(a+1) = 0
a=2, -1
Side of cube = 2