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

Answers ( )

    0
    2021-09-15T00:27:16+00:00

    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.

    0
    2021-09-15T00:27:51+00:00

    Answer:

    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.

    THEREFORE, THE ANSWER IS 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 cube = 5.5.2 = 50cm^{3}

    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:

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