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Answer :

Measurement of the suitcase =\( 80 cm \times 48 cm \times 24 cm\)

We can say that l = 80 cm, b = 48 cm and h = 24 cm
So the total surface area of the suitcase = \(2[lb + bh + hl]\)

\(= 2 (80 \times 48 + 48 \times 24 + 80 \times 24) cm^2\)

\(= 2(3840 + 1152 + 1920) cm^2\)

\(= 2 \times 6912 cm^2 =13824 cm^2\)

We have, Area of tarpaulin = Area of 100 suitcase

Area of Area of 100 suitcase=\(100 \times 13824\)

Also, we have the Area of tarpaulin = \(length \times breadth = l \times 96 = 96l cm^2\)

Equating both we have:

\(96l =100 \times 13824\)

\(\Rightarrow l = 100 \times 144 = 14400 cm = 144 m\)

Hence, the required length of the cloth = 144 m.

- 1.There are two cuboidal boxes as shown in the adjoining figure. Which box requires the lesser amount of material to make?
- 3.Find the side of a cube whose surface area is \(600 cm^2\)?
- 4.Rukhsar painted the outside of the cabinet of measure \(1 m \times 2 m \times 1.5 m\). How much surface area did she cover if she painted all except the bottom of the cabinet.
- 5.Daniel is painting the walls and ceiling of a cuboidal hall with length, breadth and height of 15 m, 10 m and 7 m respectively. From each can of paint 100 \(m^2\) of area is painted.How many cans of paint will she need to paint the room?
- 6.Describe how the two figures at the right are alike and how they are different. Which box has larger lateral surface area?
- 7.A closed cylindrical tank of radius 7 m and height 3 m is made from a sheet of metal. How much sheet of metal is required?
- 8.The lateral surface area of a hollow cylinder is 4224 \(cm^2\). It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of the rectangular sheet.
- 9.A road roller takes 750 complete revolutions to move once over to level a road. Find the area of the road if the diameter of a road roller is 84 cm and length is 1 m.
- 10.A company packages its milk powder in cylindrical containers whose base has a diameter of 14 cm and height 20 cm. Company places a label around the surface of the container (as shown in the figure). If the label is placed 2 cm from top and bottom, what is the surface area of the label.

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