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Manu has a cuboid of side 10 cm 3 cm and 10 cm how many such cuboid will be needed to form a cube
Answers
Answered by
23
Answer :
Volume of Cuboid = 10 * 3 * 10 = 300 cm^{3}
The Length of side of the cube will be a multiple of the sides of cuboid.
LCM of 10,3,10 :
5 * 2 * 3 = 30 = Side of the cube which can be formed.
To get Number of cubes can be formed ,
Divide the volume of cube by cuboid
Number of cubes = 30 * 30 * 30 / 300 = 90 Cuboids
Anonymous:
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Answered by
40
Given sides of a cuboid are 10cm,3cm,10cm.
In order to get the side of a cube, we have to find the LCM of sides of cuboids.
LCM of 10,3,10 = 2 * 5 * 3 = 30.
Therefore side of each cube = 30 cm.
Now,
= > Volume of cuboid = (10 * 3 * 10) = 300 cm^3
= > Volume of new cube = (30 * 30 * 30) = 2700 cm^3.
Therefore,
The number of cuboids required to form a cube = 27000/300
= > 90.
Hope this helps!
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