Question

how many cuboids of sides 3 centimeters 6 centimeters and 5 cm are needed to form a cube​

Answer 1

Answer:

first tell the lenth of cuboid

Step-by-step explanation:

Answer 2

Answer:

Firstly , all the cubes used for making the cube will have the same volume as that of the cube.

So, let the required number of cuboids be n and side of new cube be x cm.

So, n ×( 3×6×5) =  x3  

Or, n× 90 =  ×3  

Clearly ,n is a number which when multiplied by 90 becomes a perfect cube.

Prime factorization of 90= 2×3×3×5

Clearly , 2×3×5 ,i.e, 30 must be multiplied to 90 to make it a perfect cube .

Therefore, n = 30.

Hence, we need 30 cuboids of those dimensions to make a cube.