Past record shows that in summer season water level of earth decreases and water supply is interrupted so a society constructs a rectangular tank to fulfil water supply for its residents on a piece of land 8X3 m2 in such a way that the length and breadth of tank are less than length and breadth of land respectively by twice of its height x.
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Step-by-step explanation:46. (8-2x)(3-2x)x is the expression for volume as volume =lbh. On simplifying answer will be 4x^3-22x^2+24x
47. The above expression should be differentiated with respect to x, i.e find derivative of that expression with respect to x. Now equate the derivate to 0. We get x=3 or x=2/3. X=3 not possible because land breadth itself 3m, then tank breadth will be 3-2x=3-2(3)=-3 which is not possible as length is always positive. So x=2/4
48. Height=x=2/3
Length=8-x=20/3
Breadth=3-x=5/3
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