Ravi makes a cuboid of plasticine of sides 20CM,15CM,AND 10 CM .HOW MANY such cuboid will he need to form a cube
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Ravi will need 72 cuboids to form a cube.
Step-by-step explanation:
The volume of the cuboid = 20cm×15cm×10cm = 3000 cu.cm.
The cube is formed by stacking many such cuboids and it will have side length which are multiple of 20, 15 and 10.
The smallest such cube will have a side length of LCM of 20, 15 and 10.
Therefore, LCM of 20, 15 and 10 = 60
The smallest cube will have side length of 60cm.
And volume of smallest cube = (60×60×60)cu.cm.
Number of cuboid of volume (20×15×10)cu.cm. that will fit into a cube of volume (60×60×60)cu.cm.
= (60×60×60)/(20×15×10)
= 216000/3000
= 72 cuboids.
So,Ravi will need 72 cuboids to form a cube.
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