the surface area of a box is 232 square inches. the box is 4 inches wide and 8 inches long. what is the hight?

Answer 1

A closed box has 6 sides

the top and bottom are 4x8 = 32 times 2 = 64 square inches

232-64 = 168 square inches for the 4 sides

each side is 168/4 = 42 = height=h

42x2 =84

84+168 = 252, but you have 232

the top & bottom might be 4h or 8h, with the 4 sides 4x8=32

4x32 = 128

232-128 = 104 for 2 sides, the top and bottom

52 for each

if the top & bottom are 4h then height is 52/4=13 inches

if they are 8h then height is 52/8 = 6 1/2 inches

It's either a 4x8x13 box

or a 4x8x6.5 inch box

depending on whether it's a relatively flat box or a tall box.

If you knew the volume of the box, you could know which is the height, 13 or 6.5 inches.