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Parikshit makes a cuboid of plasticine …

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Parikshit makes a cuboid of plasticine of 5cm, 2cm,5cm. How many such cuboids will he need to form a cube? 

    • Posted by Tamanna Bhanwala 6 years, 10 months ago

    CBSE > Class 08 > Mathematics
    • 1 answers

    Payal Singh 6 years, 10 months ago

    Volume of the cuboid of sides 5 cm, 2 cm, 5 cm = 5 cm ☓ 2 cm ☓ 5 cm = (5 ☓ 5 ☓ 2) cm3

    Here, two 5s and one 2 are left which do not form a triplet.

    To make it a pefect cube, multiply this expression by 2 ☓ 2 ☓ 5 = 20,

    then it will become a perfect cube. i.e. (5 ☓ 5 ☓ 2 ☓ 2 ☓ 2 ☓ 5) = (5 ☓ 5 ☓ 5 ☓ 2 ☓ 2 ☓ 2) = 1000 is a perfect cube.

    Therefore 20 cuboids of 5 cm, 2 cm, 5 cm are required to form a cube.

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