If the volume of the square prism is 7600 cubic inches and the length of the prism is 19 inches, what is the side length of the square?

Question

If the volume of the square prism is 7600 cubic inches and the length of the prism is 19 inches, what is the side length of the square?

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Samantha 2 hours 2021-09-12T18:02:52+00:00 1 Answer 0

Answers ( )

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    2021-09-12T18:03:58+00:00

    *Answer:

    Height of the prism= 21.05 inches

    Step-by-step explanation:

    A square prism has both the bases in the shape of a square and having some height.

    Volume of a square prism = Length*Width*Height

    Volume = 7600inch^3

    Length=19inch

    As the length and width of the base are same in case of a square pyramid,

    so   Length=Width= 19 inch\\\\ Volume = Side*Side*Height\\\\7600=19*19*Height\\\\7600=361*Height\\

          Dividing by ‘361’ both sides:

                               Height=\frac{7600}{361}\\\\ Height=21.05inch

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