Random Puzzles 

Workings

Hint
A little algebra might help.

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

Reasoning
If we call the height H, the width W and the depth D we have:
   H x W = 800

       H = 800 ÷ W (1)

   W x D = 720

       W = 720 ÷ D (2)

   H x D = 360

       H = 360 ÷ D (3)

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.

Workings

Hint
There are 60 seconds in a minute, and 60 minutes in an hour.

Answer
Seconds in a week.

Reasoning
There are 60 x 60 x 24 x 7 = 604,800 seconds in a week.

There are 60 x 24 x 365 = 525,600 minutes in a (non-leap) year.

Workings

Hint
Try writing the numbers as words.

Answer
21.

These are numbers ending in a vowel.

Workings

Hint
One of the countries begins with the letter M.

Answer
Chad, China, Togo, Italy, Malta.
Domini[c had] a certain way with animals, he could almost talk to them. By tickling it under the [chin, a] tiger would roll over and let its belly be tickled. This technique is used [to go]od effect in gaining its trust and allows a v[ital y]early treatment to be performed safely, the removal of nits, whereby a special blend of [malt a]nd water is rubbed into the skin.