Thursday, 26 January 2017

SURFACE AREAS AND VOLUMES



09.01.17  --------------  

SURFACE AREAS AND VOLUMES
SUB TOPIC – SURFACE AREAS
1.A cubical  box has each edge 10cm & another cuboidal box is 12.5cm long,10cm wide& 8cm high
(i) Which box has the greater lateral surface area? by how much?
(ii) Which box has the smaller total surface area & by how much?
2.Parveen wanted to make a temporary shelter for her cars, by making a box like structure with tarpaulin that covers all the four sides and the top of the car. Assuming that the stitching margins are very small, how much tarpaulin would be  required to make the shelter of height 2.5m, with base dimensions 4m X  3m ?
3. A cylindrical pillar is 50cm in diameter & 3.5m in height. Find the cost of painting the curved surface area of the cylinder rat the rate of Rs 12.50 per m2
4.The inner diameter of a circular well is 3.5m . It is 10m deep. Find (i) the inner CSA
(ii) the cost of plastering this CSA at the rate of Rs 40 perm2
5.The slant height & base diameter of a conical tomb are 25m & 14m respectively. Find the cost of white washing its curved surface at the rate of Rs 210 per100m2
6. Find the surface area of a sphere of radius 5.6 cm
7. The radius of a spherical balloon increases from7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases
16.01.17  ---- SUB TOPIC – VOLUMES
1.Find the cost of digging a cuboidal pit 8m long  6m broad and 3m deep at the rate of Rs 30 per m3
2. A soft drink is available in two packs – (i) a tin can with a rectangular base of length 5 cm & width 4 cm , having a height of 15 cm & (ii) a plastic cylinder with circular base of diameter 7 cm & height 10 cm . Which container has greater capacity & by how much?
3. A patient in a hospital is given soup in a cylindrical bowl daily of diameter 7 cm If the bowl is filled with soup to a height of 4 cm , how much soup the hospital has to prepare daily to serve 250 patients?
4.Find the volume of a right circular cone with radius 3.5 cm , height 12 cm ?
5.Find the volume of a sphere of radius 0.63 m
6. Find the amount of water displaced by a solid spherical ball of diameter 0.21 m
23.01.17 ----  STATISTICS
1. For a particular year , following is the distribution on ages (in years) of primary school  teachers in a district
AGE IN YEARS
NO: OF TEACHERS
15-20
10
20-25
30
25-30
50
30-35
50
35-40
30
40-45
6
45-50
4
(i)                  Write the lower limit of the first class interval
(ii)                Determine the class limits of the fourth class interval
(iii)               Find the class mark of the class 45 – 50
(iv)              Determine the class size
2. Text book exercise 14.2 questions 3 , 4 , 5 & 8
3. Given below are the seats won by different political parties in the polling outcome of a state assembly elections
Political party
A
B
C
D
E
F
Seats won
75
55
37
29
10
37

Draw a graph to represent the polling results
4. The following table gives the life time of 400 neon lamps
Life time
300-400
400-500
500-600
600-700
700-800
800-900
900-1000
Number of lamps

14
56
60
86
74
62
48

Represent the given information with the help of a histogram

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