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Question
An open box is made from a square of cardboard of 30 cms side, by cutting squares of length x centimeters from each corner and folding the sides up. Express the volume of the box as a function of x. Also find its domain
Solution
Length of the box = 30 – 2x
Breadth of the box = 30 – 2x
Height of the box = x
Volume = (30 – 2x)2x, x < 15, x ≠ 15, x > 0
= 4x (15 – x)2, x ≠ 15, x > 0
Domain = (0, 15)
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