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An 8m long cuboidal beam of wood when sl...

An 8m long cuboidal beam of wood when sliced produces four thousand 1cm cubes and there is no wastage of wood in this process. If one edge of the beam is 0.5m, find the third edge.

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Given that
Length of cuboidal beam =` 8m`
One edge of beam =` 0.5m`
Let the third edge of beam be `h `m
Number of cubes of side` 1cm (0.01 m)` produced = `4000`
We know that, Volume of beam`= volume of each cube xx number of cubes`
` 8 xx 0.5 xx h `
`4000 xx (0.01)^3`
` h = 0.004/4`
`0.001m `
Length of third edge is `0.001 m`
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