Question

Question:

Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will be needed to form a cube?


Explanation needed ....


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Answer 1

Answer:

20 cuboids

Explanation:

In the given question,

Parikshit converts smaller cuboids to form a bigger cube.

So, first let's find out the volume of cuboid.

Volume of cuboid = Length × Breadth × Height

⇒ Volume of cuboid = 5 cm × 2 cm × 5 cm

⇒ Volume of cuboid = 50 cm³

For finding volume of cube,

Volume of cube = Side³

Remember:

For finding the side of cube take the LCM of given sides of cuboid.

Here, LCM of 5, 2, 5 is 10

Now, the volume of cube = Side³

→ Volume of cube = (10)³

→ Volume of cube = 1000 cm³

Many cuboids were combined to form a cube.

So,

Let the number of cuboids required be n

Volume of cuboid × n = Volume of cube

⇒ 50 × n = 1000

⇒ n = 1000 ÷ 50

⇒ n = 20

Therefore, 20 cuboids are needed to form a cube.

Answer 2

Answer:

$\huge\bf \color{blue}20 \: Cuboids$

Step-by-step explanation:

$\bf \pink{Hello!}$

$\bf \: Least \: Length \: of \: Cube =10$

$\bf \: Volume \: of \: cube = {10}^{3} =1000$

$\bf \: Dimensions \: of \: cuboid =5 \times 2 \times 5$

$\bf \: Volume \: of \: cuboid =5 \times 5 \times 2=50$

So number of Cuboid required to make a cube = 1000/50 = 20 cuboids

☘ Thus, 20 cuboids of dimensions 5×2×5 are, required to make a cube

$\huge \bf\pink{Hope \: helped!!} \: ࿐ \:$