Secondary School Math 15 points Ravi made a cuboid of plasticine of dimensions 12cm, 8cm and 3cm. How many minimum number of such cuboids will be needed to form a cube?
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Volume of cuboid=l*b*h
=12*8*3
=288 cm^3
Now we will do prime factorisation
(To get the number to multiply 288 to get a cube)
The prime factors we get are 2,2,2,2,2,3,3
We have to make triplets of the prime factors.
We have one less 2 in making triplet of 2 and one less 3 in making triplet of 3
We will multiply these=2*3
=6
Therefore we will need 6 cuboids like this to make a cube.
=12*8*3
=288 cm^3
Now we will do prime factorisation
(To get the number to multiply 288 to get a cube)
The prime factors we get are 2,2,2,2,2,3,3
We have to make triplets of the prime factors.
We have one less 2 in making triplet of 2 and one less 3 in making triplet of 3
We will multiply these=2*3
=6
Therefore we will need 6 cuboids like this to make a cube.
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