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23 January, 10:42

If (x + 5) represents the side of a cube, what is the

polynomial that represents its volume?

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  1. 23 January, 10:48
    0
    The volume of a Cube/Rectangular Prism is Length times Width times Height, (or for short L*w*h).

    For a cube, the length, width, and height are equal. So the volume of a cube is L*L*L

    In the question it says that the you know the length of one of the cubes sides, which is (x + 5).

    So L = (x + 5).

    So, the unsimplified expression is:

    L * L * L

    = (x + 5) (x + 5) (x + 5)

    = (x^2 + 10x + 25) (x + 5)

    = x^3 + 10x^2 + 25x + 5x^2 + 50x + 125

    = x^3 + 15x^2 + 75x + 125
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