Question

How many envelope can be made out of a sheet of paper 3m 24cm by 1m 72cm,if each envelope requires a piece of paper of size 18cm by 12cm

Answer 1

258 envelopes can be made out of a sheet of paper 3m 24cm by 1m 72 cm, if each envelope requires a piece of paper of size 18cm by 12cm.

Given :

Dimensions of a sheet of paper from which envelopes can be made = 3 m 24 cm by 1 m 72 cm.

Each envelope requires a piece of paper of size = 18 cm by 12 cm.

To find: Number of envelopes

Formula used:

Area of rectangle = (Length × Breadth) sq. units

Solution:

Step 1: Convert the dimensions of a sheet of paper from which envelopes can be made into cm:

Let length , L = 3 m 24 cm and breadth, B = 1 m 72 cm.

1 m = 100 cm

L = 3 m 24 cm = $3 \times 100 + 24 = 300 + 24 = 324\ cm$

B = 1 m 72 cm =$1 \times 100 + 72 = 100 +72 = 172 \ cm$

 

Step2: Find the area of sheet of paper :

Area of rectangle = (Length × Breadth) sq. units

Area of sheet of paper  =$(324 \times 172) \ cm\²$

Area of a sheet of paper  = 55728 cm²

Step3: Find the area of 1 envelope :

Area of 1 envelope = $(18 \times 12) \ cm\²$

Area of 1 envelope = 216 cm²

Step4: Number of envelopes:

Number of envelopes = Area of a sheet of paper / Area of 1 envelope

Number of envelopes = $\frac{55728 }{216}$

Number of envelopes = 258

Hence, 258 envelopes can be made out of a sheet of paper 3m 24cm by 1m 72cm.

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Answer 2

258 envelopes can be made.

Given data:

A sheet of paper is of 3 m 24 cm by 1 m 72 cm. A piece of paper required to make each envelope is of 18 cm by 12 cm.

To find:

The number of envelopes

Step-by-step explanation:

Here, the area of paper

= 3 m 24 cm × 1 m 72 cm

= 324 cm × 172 cm

= 55728 cm²

Area of a piece of paper required to make each envelope

= 18 cm × 12 cm

= 216 cm²

Thus the required number of envelopes

= area of paper ÷ area of a piece of paper required to make each envelope

= 55728 ÷ 216

= 258

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