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From a rectangular sheet of a cm xx bcm,...

From a rectangular sheet of a `cm xx bcm`, four equal square pieces of side x cm are removed at the corners and the sides are then turned up so as to form an open rectangular box. Find the value of x so that the volume of the box is greatest.

Text Solution

Verified by Experts

The correct Answer is:
`x=1/6[(a+b)-sqrt(a^2-ab+b^2)]`
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From a rectangular sheet of dimension 30 cm xx 80 cm , four equal squares of side x cm. are removed at the corners, and the sieds are then turned up so as to form an open rectangular box. Find the value of x, so that the volume of the box is the greatest.

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Knowledge Check

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