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

**Solution:**

As given in the problem statement the volume

V = s^{3} --- (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)

(V) = length × Breadth × Height

= s^{3}

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

V = (3x + 2y)^{3} = 27x^{3} + 36xy^{2} + 54x^{2}y + 8y^{3}.

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

**Summary:**

If the side length s of a cube is 3x + 2y and V = s^{3}, then the volume of the cube is 27x^{3} + 36xy^{2} + 54x^{2}y + 8y^{3}.

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