Question

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Answer 1

Given:

A suitcase with

• Length = 80 cm
• Breadth = 48 cm
• Height = 24 cm

A tarpaulin cloth

• Width = 96 cm

What To Find:

We have to find

• Metres of trapaulin cloth i.e 96 cm is required to cover 100 suitcases.

How To Find:

To find this, we have to find the

• Total surface area (TSA) of 1 suitcase
• Length of trapaulin = TSA
• Required meters of tarpaulin cloth

Solution:

• Finding the TSA of 1 suitcase.

Using the formula,

⇒ TSA = 2 (lb + bh + hl)

Substitute the values,

⇒ TSA = 2 (80 × 48 + 48 × 24 + 24 × 80)

Multiply the numbers,

⇒ TSA = 2 (3840 + 1152 + 1920)

Add the numbers,

⇒ TSA = 2 (6912)

Remove the brackets and multiply,

⇒ TSA = 13824 cm²

• Finding the length of the tarpaulin cloth.

To find length,

⇒ Area of tarpaulin cloth = TSA of 1 suitcase

Use the formula,

⇒ l × b = 13824 cm²

Substitute the values,

⇒ l × 96 = 13824 cm²

Take 96 to RHS,

⇒  $\sf{ l = \dfrac{13824}{96}}$

Divide 13824 by 96,

⇒ l = 144 cm

• Finding the required meter of cloth for 100 suitcase.

To find the required meter of cloth,

⇒ Required cloth meters = Length of cloth × 100 suitcases

Substitute the values,

⇒ Required cloth meters = 144 cm × 100

Multiply the values,

⇒ Required cloth meters = 14400 cm

Conversation of 1 m,

⇒ 100 cm = 1 m

Convert it into meters,

⇒ 14400 cm = 144 m

∴ Hence, the required cloth is 144 m.

Formula Used:

• TSA of cubiod = 2 (lb + bh + hl)
• Area of rectangle = l × b

Conversation Used:

• 1 m = 100 cm

Answer 2

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