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Area and Volume
11. The diagonal of a square is 8 cm. What is the area of the square? (in sqcm)
a) 64
b) 256
c) 32
d) 16
e) 128
12. A rectangular plot measuring 80 metres by 40 metres has to be enclosed by wire
fencing. If poles of the fence are to be kept 5 metres apart, how many poles will be
needed?
a) 48
b) 18
c) 12
d) 20
e) 56
13. If both the length and breadth of a room are increased by 1 metre, the area of
the floor increases by 21 sqm. If the length is increased by 1 metre and
breadth is decreased by 1 metre, the area decreases by 5 sq.m. What is the
perimeter of the floor?
a)32m
b)42m
c)40m
d)22m
e)50m
14. If each side of a cube is increased by 50% find the percentage of increase of its
surface area?
a) 220%
b) 250%
c) 150%
d) 125%
e) 100%
15. Four circles whose radius are same are kept such that one touches the other two.
What is the area of the portion in between the circles, if the radius is 7 cm?
a) 42
b) 196
c) 49
d) 56
e) 84

16. The volume of a sphere is numerically equal to its surface area. Find its
diameter?
a) 3 cm
b) 9 cm
c) 27 cm
d) 6 cm
e) 4 cm
17. What is the lateral surface area of a cone whose slant height is10cm and base
diameter is 14 cm? (in Sq.cm)
a) 220
b) 140
c) 70
d) 280
e) 490
18. The radii of two cylinders are in the ratio of 2:3. The heights are in the ratio of
5:3. What is the ratio of volumes?
a) 10:9
b) 4:9
c) 12:11
d) 20:27
e) 7:6
19. The ratio of diameters of two spheres is 4:5. Find the ratio of their volumes.
a) 10:25
b) 64:125
c) 8:25
d) 6:7
e) None of these
20. Circumference of a cylinder is 25 cm and its height is 4 cm. What is the curved
surface area of the cylinder (in sq cm)
a) 50
b) 625
c) 100
d) 200
e) None of these
AREA AND VOLUME PROBLEMS Reviewed by sambasivan srinivasan on 5:40:00 AM Rating: 5

#### 1 comment:

questnaveen said...

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