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The volume of a rectangular solid is to be increased by 50% without altering its base. To what extent the height of the solid must be changed.

The volume of a rectangular solid is to be increased by 50% without altering its base. To what extent the height of the solid must be changed. Correct Answer 50%

Let, Volume = LBH ATC, LBH + 50% of LBH = LBH + LBH/2 Let, H is to bbe increased by x% So, LB(H + Hx/100) = LBH + LBH/2 Or, LBH + LBHx/100 = LBH + LBH/2 Or, LBHx/100 = LBH/2 Or, x/100 = ½   Or, x = 50% ans: 50%

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