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24 January, 01:09

A rectangular prism has a base area of 48 square centimeters and a volume of 96 cubic centimeters. what are the dimensions of the prism?

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  1. 24 January, 01:32
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    volume=legnth times width times height

    base area=legnth times width

    we are given volume and base area therfor

    96=legnth times width times height

    48=legnth times width

    subsitte 48 for legnth times width

    96=48 times height

    divide both sides by 48

    2=height

    the prisim is 2 cm high

    the legnth and width are not given

    we know only that length times width=48 so the values for legnth and width could be

    l=48 and w=1

    l=24 and w=2

    l=16 and w=3

    l=12 and w=4

    l=8 and w=6

    so therefor the dimentions could be the following

    l=48 cm and w=1 cm and h=2 cm

    l=24 cm and w=2 cm and h=2 cm

    l=16 cm and w=3 cm and h=2 cm

    l=12 cm and w=4 cm and h=2 cm

    l=8 cm and w=6 cm and h=2 cm

    (l=legnth w=width h=height)
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