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From the four corners of a rectangle, sm...

From the four corners of a rectangle, small squares are cut off and the sides are folded up to make a box, as shown below:(fig)
i) Taking a side of the square as x cm, write the dimensions of the boxin terms of x.
ii) Taking the volume of the box as v(x) cubic cm, write the relation between v(x) and x as an equation.

Text Solution

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i) Length = 7-2x cm
Breadth= 5-2x cm
Height =x cm
ii) Volume of the box= v(x)
(7-2x)(5-2x)x
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