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

Explanation:
We have given with a cube whose side is
and we need to find the volume of a cube
Whose volume is defined by 
So, according to the formula we will get

Using the fomula

Here a=3x and b=2y substituting in the formula we will get

After simplification we will get

Hence, volume of cube is 
V = (3x + 2y)³ = (3x + 2y)(3x + 2y)(3x + 2y)
V = (9x² + 12xy + 4y²)(3x + 2y)
V = 27x³ + 36x²y + 12y²x +18x²y + 24xy² + 8y³
V = 27x³ + 54x²y + 36y²x + 8y³
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