Chapter A.8, Problem 55AYU

To determine

To find: What should be the dimension of the sheet metal?

Answer to Problem 55AYU

The dimensions should be 4 ft by 4 ft.

Explanation of Solution

Given:

An open box is to be constructed from a square piece of sheet metal by removing a square of side 1 foot from each corner and turning up the edges. If the box is to hold 4 cubic feet.

Calculation:

$\left(x-2\right)\left(x-2\right)1=4$

$x^2-4x+4=4$

That is

$x=-2,2$

Therefore $\text{volume} =w.l.h=2.2.1=4$.

The dimensions should be 4 ft by 4 ft.