Ajay made a cuboid with the dimensions 4cm,5cm ,4cm.
How many such cuboids will be need to form a cube?
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Answer:
Step-by-step explanation:
Volume of the cuboid of plasticine = 4×4×5 = 80cm³
Side of the biggest cube = LCM of 4,4,5 = 20
Do LCM of dimensions LCM(4,5,4) = 20
Also, we know that the volume of the cube is given by
Volume of the cube = (Side of the cube)3
⇒Volume of the biggest cube = (20)³=8000cm³
Since, Number of cuboids required to form the biggest cube =Volume of the biggest cube Volume of the cuboid= 8000÷20 = 400
Therefore, 400 cuboids each of sides 4 cm, 5 cm, 4 cm will be needed to form a cube.
Thank you
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