A cube has an edge of 2.25 feet. The edge is increasing at the rate of 1.25 feet per hour. Express the volume of the cube as a function of h

Question

A cube has an edge of 2.25 feet. The edge is increasing at the rate of 1.25 feet per hour. Express the volume of the cube as a function of h, the number of hours elapsed.

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Linh Đan 6 months 2021-07-19T09:17:34+00:00 1 Answers 43 views 0

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  1. thnahdat
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    2021-07-19T09:19:02+00:00
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    Answer:

    V(h)=(1.25h+2.25)^3

    Step-by-step explanation:

    Recall that the volume of a cube is given by:

    \displaystyle V = s^3

    Where s is the side length of the cube.

    The edges of the cube has an original length of 2.25 feet. It increases by 1.25 feet per hour. In other words, the length s after h hours can be modeled by the equation:

    s=1.25h+2.25

    Substitute. Hence, our function is:

    V(h)=(1.25h+2.25)^3

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