## 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​

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4 weeks 2021-08-14T08:39:23+00:00 2 Answers 0 views 0

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.

• 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,

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

For pencil box,

• Length = 20cm.
• Height = 8cm.

So,

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

We have,

• Length = 144cm.
• Height = 10cm.

So,

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

So,

Number of pencil boxes,

We have,

• Volume of wooden box =
• Volume of pencil box =

### Hence,

The 15 pencil boxes are packed in a wooden box.