## b) Rohit makes a cuboid of dimensions 5 cm, 2 cm, and 5 cm using clay. How many such cuboids will he need, to make a perfect cube.​

Question

b) Rohit makes a cuboid of dimensions 5 cm, 2 cm, and 5 cm using clay. How many
such cuboids will he need, to make a perfect cube.​

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1 month 2021-09-15T00:26:09+00:00 2 Answers 0 views 0

1. Step-by-step explanation:

Let first find the volume of the cuboid…

5×2×5= 75cm²

So now you have to solve the equation by urself and make it so that you got equal sides of cubes.

FIRST WAY –

She has a Cuboid of volume 50cm cube.

Hence, the cube formed by these cuboids must be a multiple of 50.

THE FIRST CUBE THAT IS DIVISIBLE BY 50 IS 1000.

HENCE, number of cuboids required to form a cube is equal to 1000/50 = 20.

SECOND WAY –

L.C.M. of 5 and 2 gives the dimension of the cube to be formed.

L.C.M. of 5 and 2 is 10. Volume of bigger cube = 10³= 1000

Number of cuboids required to make the bigger cube = (Volume of a cuboid)/(Volume of cube)

= 1000/50

=20

Step-by-step explanation: