GL pack 2 paper 6- Q 41-help!

[Roz12]

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

[mystery]

Volume of tiny cube is 0.125. Volume of cuboid is 6.

6 /0.125 = 48

[Okanagan]

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

[Roz12]

Thanks

[Roz12]

I don't think my daughter will be able to work out 6/0.125?

[Okanagan]

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.

[Guest55]

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.

[mystery]

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.