EduSahara™ Worksheet

Question 1

1.

If the length, breadth and T.S.A of a cuboid are 14.00 cm, 12.00 cm and 960.00 sq.cm respectively, its L.S.A is

(i)

601.00 sq.cm
(ii)

646.00 sq.cm
(iii)

624.00 sq.cm
(iv)

618.00 sq.cm
(v)

627.00 sq.cm

Question 2

2.

If the length, breadth and T.S.A of a cuboid are 20.00 cm, 17.00 cm and 1494.00 sq.cm respectively, its volume is

(i)

3690.00 cu.cm
(ii)

3880.00 cu.cm
(iii)

3870.00 cu.cm
(iv)

3460.00 cu.cm
(v)

3740.00 cu.cm

Question 3

3.

If the base radius of a cone is 9.00 cm and vertical height is 7.00 cm, its volume is

(i)

578.00 cu.cm
(ii)

576.00 cu.cm
(iii)

607.00 cu.cm
(iv)

619.00 cu.cm
(v)

594.00 cu.cm

Question 4

4.

A farmer connects a pipe of internal diameter
100 cm

from a canal into a cylindrical tank in his field,

which is
20 m
in diameter and
5 m
deep.

If water flows through the pipe at the rate of
20
11

kmph
,

in how much time will the tank be filled ?

(i)

66.00 min
(ii)

69.00 min
(iii)

61.00 min
(iv)

71.00 min
(v)

63.00 min

Question 5

5.

If the radius of a sphere is 19.00 cm, its L.S.A is

(i)

4678.29 sq.cm
(ii)

4538.29 sq.cm
(iii)

4478.29 sq.cm
(iv)

4558.29 sq.cm
(v)

4288.29 sq.cm

Question 6

6.

If the L.S.A of a triangular prism is 1470.00 sq.cm, base area is 113.40 sq.cm and base perimeter is 49.00 cm, its volume is

(i)

3632.00 cu.cm
(ii)

3462.00 cu.cm
(iii)

3142.00 cu.cm
(iv)

3402.00 cu.cm
(v)

3372.00 cu.cm

Question 7

7.

From a solid cylinder of height 11.00 cm and base radius 6.50 cm, a conical cavity of height 7.00 cm and base radius 6.50 cm is drilled out. Find the volume of the resulting solid

(i)

1330.81 cu.cm
(ii)

1220.81 cu.cm
(iii)

980.81 cu.cm
(iv)

1010.81 cu.cm
(v)

1150.81 cu.cm

Question 8

8.

A solid metallic cylinder of base radius 2.50 cm and height 14.00 cm is melted to form cones each of height 1.00 cm and radius 1.00 cm . Find the number of complete cones formed

(i)

267
(ii)

249
(iii)

262
(iv)

276

Question 9

9.

If the volume of a cube is 729.00 cu.cm, its L.S.A is

(i)

324.00 sq.cm
(ii)

317.00 sq.cm
(iii)

311.00 sq.cm
(iv)

338.00 sq.cm
(v)

329.00 sq.cm

Question 10

10.

A hemispherical depression is cut out from both ends of a cylinder. The height of the cylinder is 34.00 cm and its radius is 9.00 cm. Find the total surface area of the solid

(i)

3001.71 sq.cm
(ii)

3201.71 sq.cm
(iii)

2771.71 sq.cm
(iv)

2941.71 sq.cm
(v)

2711.71 sq.cm

Question 11

11.

If the three sides of a triangular prism are 17.00 cm, 17.00 cm, 10.00 cm and height is 51.00 cm, its L.S.A is

(i)

2084.00 sq.cm
(ii)

2244.00 sq.cm
(iii)

1974.00 sq.cm
(iv)

2414.00 sq.cm
(v)

2384.00 sq.cm

Question 12

12.

If the three sides of a triangular prism are 12.00 cm, 13.00 cm, 15.00 cm and L.S.A is 2040.00 sq.cm, its height is

(i)

46.00 cm
(ii)

56.00 cm
(iii)

54.00 cm
(iv)

48.00 cm
(v)

51.00 cm

Question 13

13.

A well of diameter 15.00 m is dug to a depth of 13.00 m . The soil taken out of it has been spread evenly all around it in the shape of a circular ring of width 11m to form an embankment. Find the height of the embankment.

(i)

0.56 m
(ii)

2.56 m
(iii)

3.56 m
(iv)

4.56 m
(v)

1.56 m

Question 14

14.

If the three sides of a triangular prism are 12.00 cm, 6.00 cm, 11.00 cm and height is 45.00 cm, its T.S.A is

(i)

1130.68 sq.cm
(ii)

1400.68 sq.cm
(iii)

1190.68 sq.cm
(iv)

1370.68 sq.cm
(v)

1510.68 sq.cm

Question 15

15.

Water in a canal, 18 m wide and 4 m deep is flowing with a speed of 17 kmph . How much area will it irrigate in 55 min, if 7 cm of standing water is needed ?

(i)

14428571.43 sq.m
(ii)

16028571.43 sq.m
(iii)

17728571.43 sq.m
(iv)

17228571.43 sq.m
(v)

13628571.43 sq.m

Question 16

16.

Marbles of diameter 1.80 cm are dropped into a cylindrical beaker containing some water. When they are fully submerged, the water level rises by 10.8 cm. If the diameter of the beaker is 7.20 cm, find the number of marbles that are dropped in it

(i)

144
(ii)

159
(iii)

121
(iv)

152
(v)

138

Question 17

17.

If the L.S.A of a cube is 484.00 sq.cm, its T.S.A is

(i)

714.00 sq.cm
(ii)

740.00 sq.cm
(iii)

726.00 sq.cm
(iv)

741.00 sq.cm
(v)

702.00 sq.cm

Question 18

18.

If the L.S.A of a sphere is 452.57 sq.cm, its T.S.A is

(i)

470.57 sq.cm
(ii)

466.57 sq.cm
(iii)

452.57 sq.cm
(iv)

438.57 sq.cm
(v)

445.57 sq.cm

Question 19

19.

If the L.S.A of a sphere is 5028.57 sq.cm, its volume is

(i)

33523.81 cu.cm
(ii)

30823.81 cu.cm
(iii)

36123.81 cu.cm
(iv)

34223.81 cu.cm
(v)

32923.81 cu.cm

Question 20

20.

A hemispherical depression is cut out from one face of a cylinder. The height of the cylinder is 38.00 cm and its radius is 9.00 cm. Find the total surface area of the solid

(i)

2913.43 sq.cm
(ii)

2763.43 sq.cm
(iii)

2673.43 sq.cm
(iv)

3093.43 sq.cm

Question 21

21.

A cone of maximum volume is carved out of a cube of edge 29.00 cm. Find the volume of the remaining material after the cone is carved out

(i)

16701.40 cu.cm
(ii)

19601.40 cu.cm
(iii)

15801.40 cu.cm
(iv)

18001.40 cu.cm
(v)

19501.40 cu.cm

Question 22

22.

A solid consists of a right circular cylinder with a hemisphere on one end and a cone on the other . The radius and height of the cylindrical part are 9.50 cm and 21.50 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the volume of the solid, if the height of the conical part is 10.00 cm

(i)

8810.20 cu.cm
(ii)

9020.20 cu.cm
(iii)

8840.20 cu.cm
(iv)

8600.20 cu.cm
(v)

8880.20 cu.cm

Question 23

23.

If the T.S.A of a sphere is 1810.29 sq.cm, its L.S.A is

(i)

2040.29 sq.cm
(ii)

1810.29 sq.cm
(iii)

1590.29 sq.cm
(iv)

1990.29 sq.cm
(v)

1640.29 sq.cm

Question 24

24.

If the T.S.A of a sphere is 1521.14 sq.cm, its volume is

(i)

5407.52 cu.cm
(ii)

5537.52 cu.cm
(iii)

5577.52 cu.cm
(iv)

5607.52 cu.cm
(v)

5827.52 cu.cm

Question 25

25.

If the radius of a sphere is 5.00 cm, its T.S.A is

(i)

331.29 sq.cm
(ii)

290.29 sq.cm
(iii)

332.29 sq.cm
(iv)

301.29 sq.cm
(v)

314.29 sq.cm

Assignment Key