1. If a side or edge of a cube is 3 metre find its total surface area.
2. The Length breadth and height of a cuboid are 8m, 6 metre and 4 metre find the area of the
four walls of room.
3. The Length breadth and height of a room are 5 metre 4 and 3 find the cost of whitewashing
the walls of the room and the ceiling at the rate of Rs 7.50 per metre square
4. A cubical box has each edge 10cm and another cuboidal box is 12.5 cm long 10cm wide and
8cm high
1. Which box has greater lateral surface area and by how much
2. Which box has the smaller total surface area and by how much.
5. A solid cube is cut into two cuboids of equal volumes find the ratio of the total surface area
of the given cube and that of one of the cuboids
6. 125 person can sleep in a room of dimensions 25 metre by 9.8 metre if each person requires
12.25 metre cube of air find the height of the room.
7. The capacity of a cuboidal tank is 50000 litres of water find the breadth of the tank if its
length and depth are respectively 2.5 metre and 10 metre
8. . Find the lateral surface area of a cuboid whose length is 70 cm and breadth is 30 cm and
height is 20 CM
9. Radius of the base of cylinder is 14 cm and height 30 cm find its curved surface area and
total surface area and volume.
10. If the radius of a cylinder is doubled and its curved surface area is not change the height
must be halved prove
11. A metal pipe is 77cm long the inner diameter of a cross section is 4 cm the outer diameter
being 4.4 find its inner curved surface area outer surface area and total surface area
12. Diameter of the base of a cone is 10.5 CM its slant height is 10 cm find the curved surface
area.
13. Find the total surface area of cone if its slant height is 21 metre and diameter of its base is
24 metre
14. How many square metre of Canvas is required for a conical 10 whose height is 3.5 metre and
radius of the base is 12 metre
15. What length of tarpaulin 3M wide will be required to make a conical tent of height 8 and
base radius 6 metre assume that extra length of material that will be required for stitching
margins and wastage in cutting is approximately 20 CM use Pi is equal to 3.14
16. Find the surface area of a sphere of radius 7cm
17. Find the curved surface area and the total surface area of the hemisphere of radius 21 CM
18. Hemispherical bowl of brass have in a diameter of 10.5 cm find the cost of tin plating it on
the inside at the rate of rupees 16 for 100 cm square
19. 27 solid iron sphere each of radius r and surface area S are melted to form a square with
surface area as one find the radius r1 of the new sphere ratio of S and s1
20. A cone ,a hemisphere and a cylinder stand on equal bases and have the same height find the
ratio of their volumes
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Answer:
2 no answer is 18 m is the area of the four wall room
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