Godolphin & Latymer, 2011 sample paper, Q 40
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Godolphin & Latymer, 2011 sample paper, Q 40
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...
Re: Godolphin & Latymer, 2011 sample paper, Q 40
Work out the volume of the third box and subtract the volume of the fourth box? Less calculations so less errors.
Re: Godolphin & Latymer, 2011 sample paper, Q 40
(10*10*11) - (8*8*10)
1100 - 640
460
1100 - 640
460
Re: Godolphin & Latymer, 2011 sample paper, Q 40
Yes, that is a simple solution, thanks stevew61