Brain Teasers and Puzzles

A box for your workings out:

Hint: A little algebra might help.

Answer:
Width=40, height=20, depth=18.

If we call the height H, the width W and the depth D we have:

   H x W = 800

(1) so H = 800 ÷ W

   W x D = 720

(2) so W = 720 ÷ D

   H x D = 360

(3) so H = 360 ÷ D

Using (1) and (3) we have:

   800   360
   --- = ---
    W     D

   800 x D = 360 x W

Using (2):

   800 x D = 360 x 720
                   ---
                    D

   800 x D² = 259,200

   D² = 324

   D = 18

Using (2), W = 40.

Using (1), H = 20.