Homework SourseA box with a square base and an open top must have a volume
A box with a square base and an open top must have a volume of 32,000 cm3. Find the
dimensions of the box that minimize the amount of material used.
dimensions of the box that minimize the amount of material used.
Solution
The maximum volume will be achieved in a cubic box so the height and width must then be equal. Maximising the volume will also minimise the material needed to get that particular volume. 32000 = x^3 x = 31.75cm Width of square base = 31.75cm Height of box = 31.75cm
