suppose you have a box...

Question

uppose you need to build a box with a surface area of 2117 square feet. The length of the box is 32 feet and the height will be 17 feet. What is the width of the box?a) Let w = the width of the box. Write the equation you would use to solve this problem. Then solve.

Answer 1

The surface area of a box is the area of all six sides added together. The front and back will have the same areas. The top and bottom will have the same areas and the left and right sides will have the same area.

If the dimension are l, w, and h (length, width, and height)

The formula for surface area (SA) is

SA = 2lw + 2lh + 2wh

2117= 2(32)w + 2(32)(17) + 2w(17)

2117 = 64w + 1088 + 34w

2117 = 98w + 1088

1029 = 98w

w = 10.5 feet