Question

How many cubes of 1cm will fit in 100 CM 50 CM 10 CM cuboid

Answer 1

Answer:

100x50x10/1x1x1

50000

Answer 2

Given:

• Side (Cube) = 1 cm
• Sides (Cuboid) = 100cm, 50cm, 10cm

To Find:

• How Many cubes fit in cuboid?

Formula Used:

$\\ \bigstar{\underline{\boxed{\sf\green{ Volume_{(Cube)} = a^3 }}}}$

$\\ \bigstar{\underline{\boxed{\sf\green{ Volume_{(Cuboid)} = lbh }}}}$

Solution:

Volume of Cube;

After substituting the Values in the formula;

$\colon\implies{\sf{ 1^3}} \\ \\ \colon\implies{\sf{ 1 \times 1 \times 1 }} \\ \\ \colon\implies{\sf\red{ 1 cm^3}}$

Hence,

The Volume of the cube is 1 cm³.

Volume of Cuboid;

After substituting the Values in the formula;

$\colon\implies{\sf{ 100 \times 50 \times 10}} \\ \\ \colon\implies{\sf{ 50000 }} \\ \\ \colon\implies{\sf\red{ 50000 cm^3}}$

Hence,

The Volume of the cuboid is 50000 cm³.

How Many Cubes will fit in cuboid?

$\colon\implies{\sf{ \dfrac{50000}{1} }} \\ \\ \colon\implies{\sf\purple{ 50000 }}$

Therefore,

Cuboid contain 50000 cubes of side of 1cm.