Problema Solution
for a cub x represents a positive whole number. find the value of x such that the volume of the cube and 6 times the area of one of its faces have the same value
Answer provided by our tutors
We assume 'x' represent the length of the cube's side.
The volume of the cube is: V = x^3
The area of the of the cube's faces is: A1 = x^2
V = 6*A1
x^3 = 6x^2
x^3 - 6x^2 = 0
x^2(x - 6) = 0
Since x is a positive number the solution is x = 6 (we find it by solving x - 6 = 0).