The side length, s, of a cube is 3x + 2y. If V = s³, what is the volume of the cube?

Solution:

As given in the problem statement the volume

V = s³ --- (1)

Where s = length of the side of the cube and a cube has all sides equal.

As per the given problem the length of the side of the cube is given as 

s = 3x + 2y --- (2)

Volume of the cube :

(V) = length × Breadth × Height

= s³

Hence the volume is obtained by substituting (2) in (1). We get

V = (3x + 2y)³ = 27x³ + 36xy² + 54x²y + 8y³.

The side length, s, of a cube is 3x + 2y. If V = s³, what is the volume of the cube?

Summary:

If the side length s of a cube is 3x + 2y and V = s³, then the volume of the cube is 27x³ + 36xy² + 54x²y + 8y³.