Question

a cuboid is of the dimensions 50cm × 45 cm × 30cm . how many smal cubes with side 5cm can be placed in the given cuboid?​

Answer 1

$\sf{\huge{\underline{\orange{Given :-}}}}$

• A cuboid is of the dimensions 50cm × 45 cm × 30cm .

$\sf{\huge{\underline{To\:Find :-}}}$

• The small cubes with side 5cm can be placed in the given cuboid .

$\sf{\huge{\underline{\green{Answer :-}}}}$

We have,

A cuboid is of the dimensions 50cm × 45 cm × 30cm .

The volume of a cuboid = l × b × h

➝ 50 × 45 × 30

➝ 2250 × 30

➝ 67500 cm³

We also have,

The small cubes with side 5cm .

The volume of a cube = a³

➝ 5³

➝ 5 × 5 × 5

➝ 25 × 5

➝ 125 cm³

The number of small cubes with side 5cm can be placed in the given cuboid .

➝ $\dfrac{The\:Volume\:of\:Cuboid }{The\:Volume\:of\:Cube}$

➝ $\cancel{\dfrac{67500}{125}}$

➝ 540 cubes

540 small cubes with side 5cm can be placed in the given cuboid .