What is the volume of the prism? Enter your answer, as a mixed number in simplest form, in the box.

Question

What is the volume of the prism?

Enter your answer, as a mixed number in simplest form, in the box.

cm³

The figure contains a right rectangular prism. The length of the prism is labeled 6 and one half centimeters, the width is labeled 2 and one half centimeters, and the height is labeled 2 and one half centimeters.

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Thu Thảo 7 months 2021-07-17T09:54:01+00:00 1 Answers 4 views 0

Answers ( )

    0
    2021-07-17T09:55:03+00:00

    Answer:

    40 \frac{5}{8} cm^{3}

    Step-by-step explanation:

    The figure is a rectangular prism, so the formula would be Volume = length x width x height.

    length =  6 \frac{1}{2} cm

    width  =  2 \frac{1}{2} cm

    height  =  2 \frac{1}{2} cm

    If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 \frac{1}{2} cm x 2 \frac{1}{2} cm x 2 \frac{1}{2} cm.

    Without a calculator, I would first turn the mixed numbers into improper fractions.

    • 6 \frac{1}{2}  = \frac{13}{2}
    • 2 \frac{1}{2} = \frac{5}{2}

    Volume = \frac{13}{2} x  \frac{5}{2} x  \frac{5}{2}

    When you multiply everything together you should get \frac{325}{8}.

    As a mixed number, that would be 40 \frac{5}{8} cm^{3}.

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