Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will he
need to form a cube ?
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Answer:
20 CUBOIDS
Step-by-step explanation:
the sides of the cuboid are given as 5 cm , 2 cm and 5 cm
volume of the cuboid = 5 * 2 *5= 50 cm
for the prime factorization of 50 we have
50 = 2 * 5 * 5
to make it a perfect cube we must have
2 * 2 * 2 * 5 * 5 * 5
20 * ( 2 * 5 * 5 )
= 20 * volume of the cuboid
Thus the require number of cuboids = 20
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