Question

a cube is to be made with cuboid having dimensions of 5,2 and5 mts. each. how many cuboids are needed for it.​

Answer 1

Answer:

20 cuboids of given dimensions are required to form a cube.

 

Step-by-step explanation:

We are given dimensions of a cuboid.

Dimensions are 5 m , 2 m  and 5 m

We to find Number of cuboids required to form a cube.

We know that Sum of Volume of all the cuboids equals to volume of the cube.

Also, Volume of the cube is a perfect cube number.

Thus, if we find the number by which volume of cuboid is multiplies to get a perfect cube number will gives us the required number of cuboids.

Volume of the cuboid = 5 × 2 × 5

Now to make it perfect cube,

a single 5 and two 2 is required to multiply to make it perfect cube.

⇒ Number of cuboids = 5 × 2 × 2 = 20

Therefore, 20 cuboids of given dimensions are required to form a cube.