Answer:
Step-by-step explanation:
Given that metal sheet is available with dimensions 12x30 inches.
Let x be the side of the square cut from all the four sides so that they can be folded to make open box.
The dimensions of the box would be 12-2x, 30-2x and x
Volume = V(x) = [tex](12-2x)(30-2x)x\\=(360-84x+4x^2)x\\[/tex]
x can take only values upto 6 since at 6 the length =0
Let x =5
Then volume = 5(20)(2) =200 square inches.
