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 Post subject: GL pack 2 paper 6- Q 41-help!Posted: Wed Sep 04, 2013 3:11 pm

Joined: Wed Nov 02, 2011 9:45 pm
Posts: 118
Hi all,

There are many volume Q's like these but can't seem to work them out?

What is the largest number of cubes of side 0.5cm that will fit into the cuboid above?

Cuboid is 3cm by 2cm by 1cm.

Thanks

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 Post subject: Re: GL pack 2 paper 6- Q 41-help!Posted: Wed Sep 04, 2013 4:04 pm

Joined: Tue Jul 21, 2009 9:56 pm
Posts: 8228
Volume of tiny cube is 0.125. Volume of cuboid is 6.

6 /0.125 = 48

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 Post subject: Re: GL pack 2 paper 6- Q 41-help!Posted: Wed Sep 04, 2013 4:12 pm

Joined: Mon Aug 22, 2011 8:20 pm
Posts: 1706
Location: Warwickshire
Or a different way to get the same answer, which may be easier to visualise:

If the cuboid is 3cm by 2cm by 1cm how many of the 0.5 cm cubes would fit along each side?
6 x 4 x 2 = 48

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 Post subject: Re: GL pack 2 paper 6- Q 41-help!Posted: Wed Sep 04, 2013 4:12 pm

Joined: Wed Nov 02, 2011 9:45 pm
Posts: 118
Thanks

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 Post subject: Re: GL pack 2 paper 6- Q 41-help!Posted: Wed Sep 04, 2013 4:21 pm

Joined: Wed Nov 02, 2011 9:45 pm
Posts: 118
I don't think my daughter will be able to work out 6/0.125?

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 Post subject: Re: GL pack 2 paper 6- Q 41-help!Posted: Wed Sep 04, 2013 4:57 pm

Joined: Mon Aug 22, 2011 8:20 pm
Posts: 1706
Location: Warwickshire
maybe worth working on some common fraction / decimal equivalents then:
0.5 = 1/2
0.25 = 1/4
0.125 = 1/8
etc

divide by 0.125 = divide by 1/8 = multiply by 8

But she'll probably find the visual method of how many could be lined up alongside the bigger object easier to comprehend.

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 Post subject: Re: GL pack 2 paper 6- Q 41-help!Posted: Wed Sep 04, 2013 5:01 pm

Joined: Mon Feb 12, 2007 1:21 pm
Posts: 11952
Oknagan's method is best - just dividing volumes doesn't always work if a whole number of cubes don't fit along edges.

Mystery - your method is flawed and could cause errors.

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 Post subject: Re: GL pack 2 paper 6- Q 41-help!Posted: Wed Sep 04, 2013 5:17 pm

Joined: Tue Jul 21, 2009 9:56 pm
Posts: 8228
Yes, it is. I should have added that it is ok to do it that way because you can see that a whole number of cubes will fit along each edge as 0.5 is a factor of all the given dimensions. Sorry about that. Same principle if it was a 2 dimensional question asking about whole numbers of tiles.

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