Question

Apala makes a cuboid of plasticine of sides 5 cm, 4 cm, 2 cm. How many such cuboids will be needed to form a cube ? (1.0)MarksAnswer:(a) 20(b) 25(c) 10(d) 16.

Answer 1

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Answer 2

Given:

Apala makes a cuboid of plasticine of sides 5 cm, 4 cm, 2 cm.

To find:

How many such cuboids will be needed to form a cube ?

Solution:

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.

As we know volume of cube is given by

$Volume of cuboid =5*5*2\\=50cm^{3}$

Volume of bigger cube is

$=10^{3}\\=1000cm^{3}$

Now

The Number of cuboids required to make the bigger cube

$=volume of a cube/volume of cuboid\\=1000/50\\=20$

Hence, option (a) is correct option.