The top surface area of a cube is 240, the front end surface 300 and 180 square inches. Given this information, you can length, width and he

For the top surface area, we have

W x L = 240   → L = 240/W   (1)

For the front surface area, we have

W x H = 300  → H = 300/W   (2)

And for the side area we have

H x L = 180  (3)

And using (1) and (2) in (3), we have

300/W x 240/W = 180     divide through by 60

5/W x  4/W  = 3

20/W^2 = 3  rearrange

W^2 = 20/3    → W = √(20/3) 

And using (1), L= 240/W  = 240/√(20/3)

And using (2), H = 300/√(20/3)