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 Post subject: Godolphin & Latymer, 2011 sample paper, Q 40Posted: Wed Apr 24, 2013 3:54 pm

Joined: Fri Feb 18, 2011 1:45 pm
Posts: 48
Quote:
A set of 5 squared boxes are made from centimetre cubes and each box fits exactly inside each other, with the tops level. The dimensions of the largest box is 14cm X 14cm X 13cm

c) How many cubes are used to make the third box

The dimensions of the third box would be 10cm X 10cm X 11cm

On face 1(F1), total number of cubes = 10 * 11 = 110
On the opposite face of F1, total number of cubes = 10 * 11 = 110
On the adjacent face of F1 = F1A, total number of cubes = (10 -2) * 11 = 88
On the opposite face of F1A, total number of cubes =(10 -2) * 11 = 88
On the bottom of the cube, total number of cubes = (10 -2) *(10 -2) = 64

So, total number of cubes will be: 460

Am I correct? Is there any other easy way to explain this to a child?

Thanks...

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 Post subject: Re: Godolphin & Latymer, 2011 sample paper, Q 40Posted: Wed Apr 24, 2013 5:16 pm

Joined: Fri Nov 17, 2006 8:54 pm
Posts: 1770
Location: caversham
Work out the volume of the third box and subtract the volume of the fourth box? Less calculations so less errors.

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 Post subject: Re: Godolphin & Latymer, 2011 sample paper, Q 40Posted: Wed Apr 24, 2013 5:20 pm

Joined: Fri Nov 17, 2006 8:54 pm
Posts: 1770
Location: caversham
(10*10*11) - (8*8*10)

1100 - 640

460

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 Post subject: Re: Godolphin & Latymer, 2011 sample paper, Q 40Posted: Wed Apr 24, 2013 9:21 pm

Joined: Fri Feb 18, 2011 1:45 pm
Posts: 48
Yes, that is a simple solution, thanks stevew61

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