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15 November, 15:34

A rectangular aquarium has length (x + 10), width (x + 4), and height (t + 6). Determine a simplified function that represents the volume of the aquarium. [2 Marks)

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  1. 15 November, 19:27
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    V = x³ + 20x² + 124x + 240

    Step-by-step explanation:

    Volume of a rectangular prism is width times length times height.

    V = wlh

    Given w = x+4, l = x+10, and h = x + 6:

    V = (x + 4) (x + 10) (x + 6)

    V = (x + 4) (x² + 16x + 60)

    V = x² (x + 4) + 16x (x + 4) + 60 (x + 4)

    V = x³ + 4x² + 16x² + 64x + 60x + 240

    V = x³ + 20x² + 124x + 240
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