Question

Uday makes a cuboid of plasticine of side 3 cm, 5 cm and 3 cm. How many

cuboids will be need to form a cube?​

Answer 1

Step-by-step explanation:

Side of cuboid = 3*3*5

Volume of the cuboid = 3*3*5=45cm³

Let side of the required cube be x cm

So it's volume= x³ cm³

Let n no. Of cuboid are needed

So n * 45 = x³

Here n*45 must be a perfect cube

So the minimum value that satisfied n to make n*45 a perfect cube is 75

i.e. 75*45 = 3375 = 15³

So the required answer is 75