You may like to have a go at the problem
So It's $28$ before trying
this challenge.
We are about to explore the number
$28$.
In $2010$ the month of February will have four weeks of $7$
days making $28$ days altogether.
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Half a pack of cards with the jokers makes $28$ cards
altogether:
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The seventh triangular number is also $28$:
But all these examples of $28$ are just flat - or
you might call them $2$D.
I'm suggesting we try making something $3$D.
How about if we put some small cubes
together and count the faces which are visible. Can we arrange the
cubes so that there are exactly $28$ faces?
In the pictures above, we're not
counting faces that are 'on the table'. I've coloured the cubes
(according to how many faces are showing) to make the counting a
little easier.
It would probably be good to make
one of these shapes and do your own counting.
Can you arrange some cubes so that
$28$ of their faces are visible?
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You might want to try another way
with a new shape resting on a glass table (you could just pretend!)
so you can count the faces underneath too. Here are two
shapes:
Cubes that click together might make
it easier.
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So this is your challenge: make a shape that has
$28$ little square faces visible.
Now try on a pretend glass
table and see how many you can make then.
Any surprises?
You may like to take photos of them.
Please send in any thoughts, ideas or pictures relating to
your explorations.