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Consider-a-square-based-pyramid-with-a-height-of-6x-cm-and-a-base-length-of-2-x-cm-Find-maximum-value-of-volume-of-pyramid-




Question Number 101182 by bemath last updated on 01/Jul/20
Consider a square − based  pyramid with a height of 6x cm  and a base length of (2−x)cm.  Find maximum value of   volume of pyramid.
$$\mathcal{C}\mathrm{onsider}\:\mathrm{a}\:\mathrm{square}\:−\:\mathrm{based} \\ $$$$\mathrm{pyramid}\:\mathrm{with}\:\mathrm{a}\:\mathrm{height}\:\mathrm{of}\:\mathrm{6}{x}\:\mathrm{cm} \\ $$$$\mathrm{and}\:\mathrm{a}\:\mathrm{base}\:\mathrm{length}\:\mathrm{of}\:\left(\mathrm{2}−{x}\right)\mathrm{cm}. \\ $$$$\mathrm{Find}\:\mathrm{maximum}\:\mathrm{value}\:\mathrm{of}\: \\ $$$$\mathrm{volume}\:\mathrm{of}\:\mathrm{pyramid}. \\ $$
Answered by bemath last updated on 01/Jul/20

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