Question

a cubiod dimensions 5cm 2cm and 5cm .How much such cubiod is needed to make a cube
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Answer 1

Answer:

20 cuboids

Step-by-step explanation:

Given, sides of a cuboid are 5cm, 2cm and 5cm

Volume of cuboid =5×2×5 = 50 cm^3 

Let the side of the cube formed with minimum number of cuboids = X

Hence volume of the cube = X^3

Number of cuboids required = n

Hence n×50 = X^3

Now, n×50 must be perfect cube

n×50 = n×2×5×5

[As, prime factorisation of 50 = 2×5×5]

Clearly, (2×2×5) = 20 must be multiplied to 50 to make it a perfect cube.

So, minimum value of n = 2×2×5 = 20

Hense, 20 cuboids are required to make a cube.