Question

The length, breadth and height of a pencil box are 15cm, 8cm and 3cm respectively. How

many such boxes can be packed in a cubical box of 1.2m long ?​

Answer 1

Before, finding the answer. Let's find out how we can find the answer.

• First, we have to find the Volume of the Box. To find the Volume, we must use the formula of :

$\boxed{ \sf Volume \: of \: Pencil \: Box= l \times b \times h}$

• Since measures of the pencil box are given in cm, we have to convert them to m. To do that, we must divide it by 100.
• Now, after doing that we have to divide the Volume of the Cubicol box with the Volume of the Pencil box.

__________________

Given :

• Length = 15 cm
• Breadth = 8 cm
• Height = 3 cm
• Cuboid box = 1.2 m

To find :

• how many boxes can be packed in a cubical box of 1.2m long

Solution :

Volume of Pencil Box = l × b × h

                                    = 15 × 8 × 3

                                    = 360 cm³

⇒ Converting from cm to m :

1 m = 100 cm

360 cm = 360/100

             = 3.6 m

No of Pencil boxes = Volume of Pencil Box/Volume of Cubical Box

                                = 3.6/1.2

                                = 3