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
The answer is something to do with time.

Answer
The order is based on the length of day of the planet in Earth hours and days.

Jupiter has the shortest day (≈ 9 Earth hours), and Venus has the longest day (≈ 243 Earth days).

Workings

Hint
Which digit is removed each time?

Answer
97.

Reasoning
The lowest digit is removed each time.

Workings

Hints
The first 6 words begin with the letters D, A, Q, S, W, S.

Answers
---amt = dreamt ---nue = avenue ---rtz = quartz ---oze = snooze ---mth = warmth ---iek = shriek ---gry = hungry ---thm = rhythm ---koo = cuckoo ---spy = crispy ---sip = gossip ---lem = emblem ---uid = liquid ---tyr = martyr ---meg = nutmeg