Abox with a square base and open top must have a volume of 13,500 cm3. find the dimensions of the box that minimize the amount of material used. sides of base cm height cm

base: 30 cm

height: 15cm

Step-by-step explanation:

Let 'b' be the length of the side of the base, and 'h' the height of the box. The volume is given by:

The total area of material used is:

Using both equations to solve for 'b':

The value of 'b' for which the derivate of the area function (A) equals zero, is the value that yields the minimum area.

If b=30, the height 'h' is:

good luck on ur quiz test or homework. have a good day : )