Which of the following functions gives the length of the base edge, a(V), of a right square pyramid that is 8 inches tall as a function of i

Question

Which of the following functions gives the length of the base edge, a(V), of a right square pyramid that is 8 inches tall as a function of its volume, v, in cubic inches?

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Camila 2 weeks 2021-09-12T05:37:07+00:00 1 Answer 0

Answers ( )

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    2021-09-12T05:38:46+00:00

    Answer:

    s = √(3V/[8 in])

    Step-by-step explanation:

    Where are “the following functions” that were mentioned in this problem statement?  Please share them.  Thanks.

    The volume of a right square pyramid is V = (1/3)(area of base)(height).  In more depth, V = (1/3)(s²)(h).  We want to solve this for s.

    Multiplying both sides by 3 to eliminate the fractional coefficient, we get:

    3V = s²(h), and so s² = 3V/h.

    Taking the square root of this, we get:

    s = √(3V/h).

    Now let’s substitute the given numerical value for the height:

    s = √(3V/[8 in]).  We could also label this as a(V) as is done in the problem statement.

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