Question

Q3. How many small cubical boxes with each side 3cm
can fit into a
large cuboidal box with length 45cm,
height 5cm
breadth 12cm and
Sum​

Answer 1

Answer:

100 cubes.

Step-by-step explanation:

The volume of the cuboidal box = l x b x h

= 5 x 12 x 45

= 60 x 45

= 2700 cm ^3.

then, The volume of the small cube = 3 x 3 x 3.

= 27 cm.

then, the no. of cubes can be fitted

= 2700 / 27

= 100 cubes.

please mark me as brainliest.

Answer 2

Hello Reemaamy !

Answer:

100 small Cubical Boxes

Step-by-step explanation:

Given :

Side of small Cubical box = 3 cm.

Length of the Cuboidal box = 45 cm.

Breadth of the Cuboidal box = 12 cm.

Height of the Cuboidal box = 5 cm.

Concept :

If many small objects are placed in a big object, The number of small objects that can fit is the division of the bigger object's volume by the smaller objects'.

Formulae :

Volume of a cube = s³ units³

• Where s is the side of the Cubical box.

Volume of a cuboid = (l × b × h) units³

• Where l is the Length of the Cuboidal box.
• Where b is the Breadth of the Cuboidal box.
• Where h is the Height of the Cuboidal box.

Procedure :

Volume of the Cubical box = (3 cm)³

∴ Volume of the Cubical box = 27 cm³

Volume of the Cuboidal box = 45 cm × 12 cm × 5 cm

⇒ V = 9 × 5 × 3 × 4 × 5 cm³

⇒ V = 27 × (20 × 5) cm³

⇒ V = 2700 cm³

∴ Volume of the Cuboidal box = 2700 cm³

$n = \frac{Volume \ of \ Cuboidal \ Box}{Volume \ of \ Cubical \ Box} = \frac{2700 cm^{3}}{27 cm^{3}}$

∴ n = 100 Cubical boxes.

Hence 100 small Cubical boxes can fit into the large Cuboidal box.

Thanks !