Question

Pencil box measuring 20cm × 12cm × 8cm are packed in a wooden box measuring 144cm × 20cm × 10cm . How many pencil boxes are packed in a wooden box​

Answer 1

Answer:

$\huge\underline\bold {Answer:}$

Volume of wooden box = l × b × h

= 144 × 20 × 10 = 28800 centimetre cube.

Volume of pencil box = l × b × h

= 20 × 12 × 8

= 1920 centimetre cube.

Therefore, number of pencil boxes packed in the wooden box = Volume of wooden box ÷ Volume of pencil box

= 28800 ÷ 1920

= 15

Therefore, 15 pencil boxes are packed in the wooden box.

Answer 2

• 15 pencil boxes are packed in a wooden box.

Given :–

• Measure of pencil box = 20cm × 12cm × 8cm.
• Measure of wooden box = 144cm × 20cm × 10cm.

To Find :–

• Number of pencil boxes are packed in a wooden box.

Solution :–

Pencil and wooden box is a cuboid.

So we know that,

Volume of cuboid,

$\longmapsto \sf \green{length \times breadth \times height}$

First, we need to find the volume of pencil and wooden box.

For pencil box,

• Length = 20cm.
• Breadth = 12cm.
• Height = 8cm.

So,

$\mapsto 20cm\times 12cm \times 8cm$

$\mapsto20cm \times 96 {cm}^{2}$

$\mapsto1920 {cm}^{3}$

Now, we need to find the volume of wooden box.

We have,

• Length = 144cm.
• Breadth = 20cm.
• Height = 10cm.

So,

$\mapsto144cm \times 20cm \times 10cm$

$\mapsto144cm \times 200 {cm}^{2}$

$\mapsto28800 {cm}^{3}$

Now, we have to find the number of pencil boxes are packed in a wooden box.

So,

Number of pencil boxes,

$\longmapsto \sf \green{\dfrac{Volume \: of \: wooden \: box}{Volume \: of \: pencil \: box}}$

We have,

• Volume of wooden box = $\sf 28800 {cm}^{3}$
• Volume of pencil box = $\sf 1920 {cm}^{3}$

$\mapsto\dfrac{2880 \cancel{0} \cancel{{cm}^{3} }}{ 192\cancel{0 } \cancel{{cm}^{3}} }$

$\mapsto \cancel\dfrac{ 2880}{192}$

$\mapsto \cancel \dfrac{1440}{96}$

$\mapsto\cancel\dfrac{720}{ 48}$

$\mapsto\cancel\dfrac{360}{24}$

$\mapsto \cancel\dfrac{180}{12}$

$\mapsto \cancel\dfrac{ 90}{6}$

$\mapsto \cancel\dfrac{ {45}}{ {3} }$

$\mapsto\dfrac{15}{1}$

$\mapsto 15$

Hence,

The 15 pencil boxes are packed in a wooden box.