Question

If 300 cm2 of material is available to make a box with a square base and an open top, find the maximum volume of the box in cubic centimeters. Answer to the nearest cubic centimeter without commas. For example, if the answer is 2,000 write 2000.

Answer 1

The solution for the problem is:Area of the box is computed by A = 2wl + 2lh + 2hw,where w - width,the l - length, and the h - height.but we need to change that, so the formula would be:A = 2 a² + 4 a h = 300 cm²h = a (the box is a cube) A = 6 a² = 300 cm²a² = 50a = 5 cmV = a³ = 5³ = 125cm³