The suitcase is in the shape of a cuboid with length l = 80 cm, breadth b = 48 cm, and height h = 24 cm. We calculate its total surface area using the standard formula 2(lb + bh + hl).

Multiplying the dimensions gives 3840, 1152, and 1920. Adding these products gives 6912 cm², and multiplying by 2 gives a total surface area of 13824 cm² for 1 suitcase.

The tarpaulin cloth is rectangular with area equal to length × width. Dividing the total area 1382400 cm² by the width 96 cm gives a length of 14400 cm, which is equal to 144 m (since 1 m = 100 cm).

The tarpaulin cloth is rectangular with area equal to length × width. Dividing the total area 1382400 cm² by the width 96 cm gives a length of 14400 cm, which is equal to 144 m (since 1 m = 100 cm).

suitcase with measures 80 cm into 48 cm into 24 cm is to be covered with the tarpoline cloth how many metres of torque in with 96 cm is required to cover 100 such suitcases

Answer: $144\text{ m}$

Step-by-step solution

Step 1: Calculate the total surface area of one suitcase

The suitcase is in the shape of a cuboid with length $l = 80\text{ cm}$ , breadth $b = 48\text{ cm}$ , and height $h = 24\text{ cm}$ . We calculate its total surface area using the standard formula $2(lb + bh + hl)$ .

Step 2: Substitute the dimensions into the surface area formula

Multiplying the dimensions gives $3840$ , $1152$ , and $1920$ . Adding these products gives $6912\text{ cm}^2$ , and multiplying by $2$ gives a total surface area of $13824\text{ cm}^2$ for $1$ suitcase.

Step 3: Find the total surface area of 100 suitcases

To cover $100$ identical suitcases, we multiply the surface area of one suitcase by $100$ . This gives a total area of $1382400\text{ cm}^2$ of tarpaulin required.

Step 4: Determine the required length of the tarpaulin cloth in metres

The tarpaulin cloth is rectangular with area equal to $\text{length} \times \text{width}$ . Dividing the total area $1382400\text{ cm}^2$ by the width $96\text{ cm}$ gives a length of $14400\text{ cm}$ , which is equal to $144\text{ m}$ (since $1\text{ m} = 100\text{ cm}$ ).

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