MATH SOLVE

2 months ago

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

Accepted Solution

A:

Answer:

volume = 27x^3 + 54x^y + 36xy^2 + 8y^3

Explanation:

The volume of the cube is calculated using the following rule:

volume = s^3

We are given that the side length of the cube = s = 3x+2y

Substituting in the equation we can get the volume as follows:

volume = (3x+2y)^3

volume = (3x+2y)^2 * (3x+2y)

volume = (9x^2 + 12xy + 4y^2)*(3x+2y)

volume = 27x^3 + 36x^2y + 12xy^2 + 18x^2y + 24xy^2 + 8y^3

volume = 27x^3 + 54x^y + 36xy^2 + 8y^3

Hope this helps :)

volume = 27x^3 + 54x^y + 36xy^2 + 8y^3

Explanation:

The volume of the cube is calculated using the following rule:

volume = s^3

We are given that the side length of the cube = s = 3x+2y

Substituting in the equation we can get the volume as follows:

volume = (3x+2y)^3

volume = (3x+2y)^2 * (3x+2y)

volume = (9x^2 + 12xy + 4y^2)*(3x+2y)

volume = 27x^3 + 36x^2y + 12xy^2 + 18x^2y + 24xy^2 + 8y^3

volume = 27x^3 + 54x^y + 36xy^2 + 8y^3

Hope this helps :)