Question

1)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)20
c)25
d)10
e)16​

Answer 1

Answer:

25 more cuboids are needed to make a cube

Step-by-step explanation:

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Answer 2

Given:

Sides of cuboid of plasticine are 5 cm, 4 cm , 2 cm.

To find :

How many cuboids will be needed to  form a cube.

Formula to be used:

Number of cuboids required = Volume of cube / Volume of cuboid

Solution:

Step 1 of 2:

Let the sides of cuboid are 5 cm , 4 cm , 2 cm

To find the side of a cube, find the LCM of 5 , 4 , 2

5 = 1 × 5

4 = 2 × 2

2 = 1 × 2

LCM =  5 × 2 ×  2

LCM = 20

Therefore, the side of a cube =20 cm

Step 2 of 2:

Volume of cube = a³

Volume of cube = 20³

Volume of cube = 8000 cm³

Volume of cuboid = l × b × h

Volume of cuboid = 5 × 4 × 2

Volume of cuboid = 40 cm³

Number of cuboids required = Volume of cube / Volume of cuboid

Number of cuboids required =  $\frac{8000}{40}$

Number of cuboids required = 200

Final answer:

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

Therefore, 200 cuboids will be needed to  form a cube.