# AREA AND VOLUME PROBLEMS

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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

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