Puzzle 111

I have a box.
The top's area is 240 square inches, the front's area is 300 square inches and the end's area is 180 square inches.
What are the dimensions of the box?

[Ref: ZWKR]

Hint: This is a tricky puzzle and knowledge of algebra would certainly help.

Answer:
Length=20, depth=12, height=15.
This is easily solved with a little simple algebra. If we call the three sides A, B, and C we have:
A x B = 240
A x C = 300
B x C = 180
Multiplying these together we get:
(A x B) x (A x C) x (B x C) = 240 x 300 x 180
A^{2} x B^{2} x C^{2} = 12,960,000
(A x B x C)^{2} = 12,960,000
Which means that:
A x B x C = 3600
Substituting A x B = 240 back in gives C = 15 and the rest follow. QED.

Puzzle 112

What day would tomorrow be if yesterday was five days before the day after Sunday's tomorrow?

[Ref: ZYFP] © Kevin Stone

Hint: Try working backwards.

Answer: Saturday.
It's best to work backwards:
"Sunday's tomorrow"
is Monday.
"the day after Sunday's tomorrow"
is therefore Tuesday.
"five days before the day after Sunday's tomorrow"
is therefore Thursday.
"yesterday was five days before the day after Sunday's tomorrow"
yesterday was Thursday, making today Friday. Therefore tomorrow is Saturday, as required.

Puzzle 113

Can you rearrange the letters below into a sentence?
I heard one famous puzzle solver saying "That can't be done!".

h a t t c n t a e b o n d e

[Ref: ZDHF] © Kevin Stone

Hint: The answer is in the question.

Answer:
"That can't be done!" is the answer.

Puzzle 114

How many squares, of any size, do not contain a Rook?

[Ref: ZRZL] © Kevin Stone

Hint: How many 2x2 squares are there?

Answer: 128.
There are 62 squares of size 1x1.
There are 41 squares of size 2x2.
There are 18 squares of size 3x3.
There are 6 squares of size 4x4.
There is 1 square of size 5x5.
A total of 62 + 41 + 18 + 6 + 1 = 128.

Puzzle 115

Using the BrainTracker grid below, how many words can you find? Each word must contain the central S and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. Can you find the nine letter word?
Excellent: 66 words. Good: 50 words. Average: 38 words.

[Ref: ZLWK] © Kevin Stone

Hint: Every word must contain the central letter.

Answer: Speedboat.
Common words:
apse, as, asp, base, based, bast, baste, basted, beast, bedpost, beset, besot, best, bested, boast, boasted, debase, depose, despot, dose, ease, eased, east, obese, past, paste, pasted, peso, pest, pose, posed, post, posted, sad, sap, sat, sea, seabed, seat, seated, sedate, see, seed, seep, set, so, soap, soaped, sob, soda, spa, spade, spat, spate, sped, speed, SPEEDBOAT , spot, stab, stead, steed, steep, step, stop, tease, teased.
All words:
abets, abodes, abs, adepts, adobes, adoptees, adopts, ados, ads, aedes, apes, apods, apse, as, asp, ates, bads, baps, bas, base, based, bast, baste, basted, bates, bats, beads, beast, beats, bedpost, beds, beeps, bees, beets, beset, besot, best, bestead, bested, betas, bets, boas, boast, boasted, boats, bodes, bods, bops, bos, botas, bots, dabs, daps, dates, datos, debase, debates, debs, debts, deeps, dees, deets, depose, depots, despot, doats, does, doest, dopas, dopes, dos, dose, dost, dotes, dots, ease, eased, east, eats, epodes, epos, es, estop, etapes, etas, oast, oats, obes, obese, odes, ods, oes, opes, ops, opts, os, ose, pads, pas, pase, paseo, past, paste, pasted, pates, pats, peas, pease, peats, pedes, peds, pes, pesade, peseta, peso, pest, pesto, pets, podesta, pods, poets, pose, posed, post, posted, pots, psoae, sab, sabe, sabed, sabot, sad, sade, sae, sap, sapote, sat, sate, sated, sea, seabed, seat, seated, sedate, see, seed, seep, sept, septa, set, seta, setae, so, soap, soaped, sob, soda, sop, spa, spade, spado, spae, spaed, spat, spate, sped, speed, SPEEDBOAT , speedo, spode, spot, stab, stade, stead, steed, steep, step, stoa, stoae, stob, stop, stope, stoped, tabes, tabs, tads, taos, tapes, taps, tas, teas, tease, teased, teds, tees, tepas, toads, tods, toes, topees, topes, tops, tsade.