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15 August, 11:17

A company sells cereal in two different - sized boxes. The smaller box has the dimensions of 12-inch, 2-inch and 7 3/4 i. The height of the smaller box is 80% of the height of the lager box, while the other two dimensions are the same for both boxes. What is the difference in the volumes of the two boxes?

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  1. 15 August, 14:51
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    We will take the volume of each box separately to find the difference between them.

    We have then that the volume of the boxes is:

    V = (L) * (W) * (h)

    Where,

    L: long

    W: width

    h: height

    The smaller box:

    V1 = (12) * (2) * (7 3/4)

    V1 = 186 in ^ 3

    the lager box:

    V2 = (12) * (2) * ((7 3/4) * (100/80))

    V2 = 232.5 in ^ 3

    The difference is:

    V2-V1 = 232.5 in ^ 3 - 186 in ^ 3 = 46.5 in ^ 3

    Answer:

    The difference in the volumes of the two boxes is:

    46.5 in ^ 3
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