More matchstick boxes

Can you use 24 matchsticks (line segments of unit lengths) to form 6 unit squares?

Can you use 19 matchsticks to form 6 unit squares?

Can you use 17 matchsticks to form 6 unit squares?

Can you use 12 matchsticks to form 6 unit squares? (Hint: Think out of the box)

#Creativity #MatchstickPuzzles

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

All four done.

SPOILERS BELOW

24: Make six separate unit squares.
19: Make a chain of six unit squares side to side.
17: Make a 2x3 rectangle.
12: Make a unit cube.

Ivan Koswara - 7 years, 6 months ago

Oh I love these kind of puzzles. I once did a project for a science fair on them :)

I can get the first 3, let me think about the last one ....

Calvin Lin Staff - 7 years, 6 months ago

Really enjoyable. The arrangements are, draw individual squares, connected squares, a grid of 2x3, The last one was a nice twist (you really had to think out of the box (or rather think about the box :p).

Nishant Rai - 7 years, 6 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$