Direction: Read, analyze and solve the problems accurately. SHOW YOUR SOLUTION

1. As one of the leading online shopping, LAZADA is looking for a precise procedure to make an open rectangular box for a certain in-demand item which is detergent powder. The main problem is how to meer the specifications needed for the box using a cardboard with sides 24-inch by 18 inch by x-inch. Let x be the height of the box to be cut off.

Suppose you are chosen as a leader and tasked to lead in solving the problem:
(a) Express the number of cubic inches in the volume of the box as a function of x

(b) Find the volume of the box if the height (x) is 2 inches

(c) Find the volume of the box if the height (x) is 5 inches

(d) Compare the heights (x = 2 and x = 5), which has a greater volume?

(e) what will happen to the volume of the box if the height is 9 inches? Is it possible, why? 18 - 1​