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28 September, 16:59

20 how much metal is needed to smelt a cubical metal box with outer side 12 inches long if the thickness of its walls should be exactly 3 inches?

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  1. 28 September, 17:14
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    The volume of the metal box if the box was completely solid (V1), is:

    V1 = (12 inches) ³

    V1=1728 inches³

    As there are 3 inches of metal on both sides, the widht if the metal box was not completely solid, is:

    W=12 inches - (3 inchesx2)

    W=6 inches

    Then, the volumen of the no solid metal box is:

    V2 = (6 inches) ³

    V2 = 216 inches³

    Therefore, the volume of metal needed to smelt the cubical metal box, is:

    V3=V1-V2

    V3=1728 inches³-216 inches³

    V3=1512 inches³
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