Question

Rahul makes a cuboid of plasticine of sides 3cm x 3cm x 5 cm. How many such cuboids will he need to form a cube?

Answer 1

Answer:

sorry if my english is bad, but here❤

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

Answer 2

Answer:

He requires 75 such cuboids to form a cube.

Step-by-step explanation:

Vol. of cuboid=(3×3×5) cm^3

= 45cm^3

each side of a cube will be = ( LCM of 3, 35)

= 15 cm

therefore, Vol. of cube = 3375 cm ^3

therefore, No. of cuboids required = Vol. of cube / Vol. of cuboid.

= 3375/ 45

= 75