Question

Raymond wants to make a box that has a volume of 360 cubic inches. He wants the height to be 10 inches and the other two dimensions to be whole numbers of inches. How many different-sized boxes can he make?

Answer 1

The volume of the box is l*w*h, or l*w*10, and also the volume is 360. so, 10lw=360, meaning l*w=36, so we are looking for whole number factors of 36. 
length: 1    2  3  4 6 9 12 18 36width:36  18 12 9 6 4   3   2   1
there are a total of 9 possible ways to make the base of the box so your answer would be  9