A cube has a volume of 64 cubic feet. What is the AREA of one of the sides?

Question

A cube has a volume of 64 cubic feet. What is the AREA of one of the
sides?

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Thiên Thanh 1 month 2021-08-13T20:50:33+00:00 1 Answers 3 views 0

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    2021-08-13T20:52:22+00:00

    Answer:

    16 square feet

    Step-by-step explanation:

    First, let’s find how long each side of the cube is.

    The volume of a cube is found by this formula, where s is a side of the cube:

    V = s^3

    We can take the cube root of both sides:

    \sqrt[3]{V}  = \sqrt[3]{s^3}

    Just flipping it:

    \sqrt[3]{s^3}=\sqrt[3]{V}\\s = \sqrt[3]{V}

    We know our volume is 64 cubic feet. Let’s put that into our equation as V:

    s=\sqrt[3]{64}

    The cubic root of 64 is 4, since 4 * 4 * 4 = 64

    s=4

    Thus, each side of our cube is 4 feet.

    Now, the area of a side of our cube is found using this formula:

    A = s^2

    Since we know s, we can easily find the area A by squaring it:

    A = 4^2 = 16

    Answer: 16 square feet

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