Problema Solution

A box with an open top is to be formed from a rectangular sheet of cardboard by cutting 2 cm squares from the corners and folding up the sides. the length of the box is to be 3 cm more than its width, and its volume is to be 80 cubic centimeters.

a. Find the dimensions of the sheetof cardboard.

Answer provided by our tutors

The width of the sheetof cardboard: x

The length of the sheetof cardboard: (x-3)

So the equation is

80 = 2*(x-2)(x-3-2)

x =10

So

The width of the sheetof cardboard: 10 cm

The length of the sheetof cardboard: 7 cm