Math, asked by Drax4725, 8 months ago

Ravi makes a cuboid of plasticine of sides 20CM,15CM,AND 10 CM .HOW MANY such cuboid will he need to form a cube

Answers

Answered by kriti2022
1

Answer:

question is incomplete

Answered by ReshavRaj29
1

Answer:

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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