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

Answer 1

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)