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MATH SOLVE
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The side length, s, of a cube is 3x + 2y. If V = s3, what is the volume of the cube?
4 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 :)