Quandaries
and Queries 

Who is asking: Student Level: Middle Question: 

Hi, The surface of box comes in six pieces, the top and bottom, the front and back and the two ends. In your box the top and bottom each have area 252cm^{2} and the front and back each have area 105cm^{2}. The surface area of the entire box is 5380.64cm^{2} and hence the area of the two ends together is
and hence the area of one end is
I need variable names to go any further so I drew a diagram and labeled the lengths of the edges.
Using my notation and the information above we have
You want to evaluate hxy to obtain the volume of the box. Here is one way to proceed.
Once you find x, y and h and calculate the volume check you answer by going back and verifying that the surface area is 5380.64cm^{2}. Penny 

