CBSE Class 8CBSE
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Cubes - Smallest Multiple that is a Perfect Cube

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Raj made a cuboid of plasticine. Length, breadth and height of the cuboid are 15 cm, 30 cm, 15 cm respectively. 
Anu asks how many such cuboids will she need to make a perfect cube? Can you tell? 
Raj said, Volume of cuboid is 15 × 30 × 15  = 3 × 5 × 2 × 3 × 5 × 3 × 5  
= 2 × 3 × 3 × 3 × 5 × 5 × 5 
Since there is only one 2 in the prime factorisation. So we need 2 × 2, i.e., 4 to make it a perfect cube. Therefore, we need 4 such cuboids to make a cube. 

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