[OK] Privacy Policy  -  Terms & Conditions  -  See DetailsWe use cookies to personalise content and ads. We also share information about your use of our site with our advertising partners who may combine it with other information you've provided to them or they've collected from your use of their services.

Puzzle Details

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]

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

A2 x B2 x C2 = 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.

Our Favourite Illusions

 Shadow Illusion Are the squares A and B the same colour? Spinning Dancer Which way is the dancer spinning? Impossible Waterfall? Is the water flowing uphill in this impossible Escher type waterfall? The Butterfly A colourful butterfly?
 Duck Or Rabbit? Is this a duck or a rabbit? Hidden Faces Can you find his three daughters as well? Blind Spot An amazing demonstration of your blind spot. Impossible Prongs? Impossible prongs?
 What Am I? Can you tell what this is a picture of? Who Turned To? Who is missing? Same Eyes? Are her eyes the same colour? Parallel Cafe Wall Lines? Are the horizontal lines parallel?