Suman made a cuboid out of plasticine measuring 2cm by 6cm by 9cm. How many such cuboids are required to make a perfect cube?

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Suman made a cuboid out of plasticine measuring 2cm by 6cm by 9cm. How many such cuboids are required to make a perfect cube?

Asked by Cl_narayan | 15 Aug, 2019, 09:19: PM

Expert Answer

begin mathsize 16px style Length space of space left parenthesis each space edge right parenthesis space of space straight a space cube space equals space LCM left parenthesis 2 comma space 6 comma space 9 right parenthesis space equals space 18 Number space of space cuboids space left parenthesis required space to space make space straight a space perfect space cube right parenthesis space equals space fraction numerator Volume space of space straight a space cube over denominator Volume space of space straight a space cuboid end fraction equals space fraction numerator 18 cubed over denominator 2 cross times 6 cross times 9 end fraction space equals space 54 end style

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