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# The side length, s, of a cube is 4x^{2} + 3. If V = s^{3}, what is the volume of the cube?

**Solution:**

**Volume is defined as a capacity occupied by a three-dimensional solid shape. **

**It is hard to visualize the volume of any solid shape but we can definitely compare the volume of those respective shapes.**

As given in the problem statement the volume

V = s^{3}----- (1)

And

s = 4x^{2} + 3--------(2)

Hence,

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

We get,

V = (4x^{2} + 3)^{3}

= 64 x^{6} + 144x^{4} + 108x^{2} + 27

Therefore,

the volume of cube is 64 x^{6} + 144x^{4} + 108x^{2} + 27.

## The side length, s, of a cube is 4x^{2} + 3. If V = s^{3}, what is the volume of the cube?

**Summary: **

The volume of the cube is 64 x^{6} + 144x^{4} + 108x^{2} + 27.

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