Pencil box measuring 20cm × 12cm × 8cm are packed in a wooden box measuring 144cm × 20cm × 10cm . How many pencil boxes are packed in a wood 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 in progress 0 Math Natalia 4 weeks 2021-08-14T08:39:23+00:00 2021-08-14T08:39:23+00:00 2 Answers 0 views 0

## Answers ( )

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.

:–GivenTo:–FindSolutio:–nPencil and wooden box is a cuboid.

So we know that,

Volume of cuboid,

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

For pencil box,

So,

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

We have,

So,

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

So,

Number of pencil boxes,

We have,

## Hence,

The 15 pencil boxes are packed in a wooden box.