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What is the relation between cuboid with dimension a x b x c and 3 cubes with side lengths a, b and c respectively?

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Babu has a cuboid with dimension - a x b x c and he also has 3 cubes with side lengths a, b and c respectively.
What is the relation between cuboid volume and the volume of cubes?

posted Dec 11, 2017 by anonymous

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1 Answer

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The volume of cuboid = abc
The volume of 1st cube = a^3
The volume of 2nd cube = b^3
The volume of 3rd cube = c^3
So, The volume of cubes = a^3+b^3+c^3
So, the volume of cube / cuboid volume
= (a^3+b^3+c^3)/abc
= (a^3/abc)+(b^3/abc)+(c^3/abc)
= (a^2/bc)+(b^2/ac)+(c^2/ab)

answer Dec 18, 2017 by Yasin Hossain Siinan



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