Question

The dimensions of a cuboid 3 cm×5 cm×5 cm. How many such identical cuboids are required to form a cube?

Answer 1

Given, sides of a cuboid are 3cm, 5cm and 5cm

Volume of cuboid =5 × 3 × 5 = 75 cm³  

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

Hence volume of the cube = x³

Number of cuboids required = n

Hence n × 75 = x³

Now, n × 75 must be perfect cube

n × 75 = n × 3 × 5 × 5

So, minimum value of n = 3 × 3 × 5 = 45

Hense, the number of cuboid will be needed to form a cube is 45

Answer 2

Answer:

the number of cuboid will be needed to form a cube is 45

Step-by-step explanation:

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