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 ?
(a) 20
(b) 25
(c) 10
(d) 16.

Answer 1

Step-by-step explanation:

Given :-

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

To Find:-

How many such cuboid will be needed to form a cube.

Solution :-

Volume of cuboid = (2×4×5) = 40

L.C.M of 2,4,5 = 20cm.

So, Each side of cube is 20cm.

Volume of cube = 20×20×20 = 800cm³

Therefore,

Number of cuboid required

»» volume of the cube/volume of the cuboid

»» 800/40

»» 200 = 20

Final Answer:-

20 cuboids are required.