EduSahara™ Worksheet

Question 1

1.

If the three sides of a triangular prism are 7.00 cm, 10.00 cm, 9.00 cm and height is 33.00 cm, its L.S.A is

(i)

836.00 sq.cm
(ii)

861.00 sq.cm
(iii)

852.00 sq.cm
(iv)

858.00 sq.cm
(v)

881.00 sq.cm

Question 2

2.

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 8.00 cm and 30.00 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 20.00 cm

(i)

8218.00 cu.cm
(ii)

8568.00 cu.cm
(iii)

8398.00 cu.cm
(iv)

8618.00 cu.cm
(v)

8448.00 cu.cm

Question 3

3.

If the base radius of a cone is 5.00 cm and slant height is 9.43 cm, its vertical height is

(i)

7.00 cm
(ii)

8.00 cm
(iii)

9.00 cm
(iv)

10.00 cm
(v)

6.00 cm

Question 4

4.

If the length, breadth and volume of a cuboid are 15.00 cm, 14.00 cm and 1050.00 cu.cm respectively, its T.S.A is

(i)

707.00 sq.cm
(ii)

738.00 sq.cm
(iii)

688.00 sq.cm
(iv)

710.00 sq.cm
(v)

715.00 sq.cm

Question 5

5.

A hollow metallic cylindrical tube has an internal radius of 6.50 cm and height 30.00 cm. The thickness of the metal is 2.5 cm .The tube is melted to cast into a right circular cone of height 18.00 cm. Find the radius of the cone.

(i)

16.92 cm
(ii)

18.92 cm
(iii)

13.92 cm
(iv)

8.92 cm
(v)

10.92 cm

Question 6

6.

If the three sides of a triangular prism are 14.00 cm, 9.00 cm, 15.00 cm and L.S.A is 2166.00 sq.cm, its base area is

(i)

56.64 sq.cm
(ii)

58.64 sq.cm
(iii)

64.64 sq.cm
(iv)

61.64 sq.cm
(v)

66.64 sq.cm

Question 7

7.

A copper sphere having a radius of 10.00 cm is melted and drawn into a cylindrical wire of radius 0.50 cm. Calculate the length of the wire.

(i)

50.33 m
(ii)

56.33 m
(iii)

48.33 m
(iv)

53.33 m
(v)

58.33 m

Question 8

8.

If the volume of a sphere is 28742.48 cu.cm, its T.S.A is

(i)

4518.29 sq.cm
(ii)

4538.29 sq.cm
(iii)

4658.29 sq.cm
(iv)

4368.29 sq.cm
(v)

4698.29 sq.cm

Question 9

9.

A solid consists of a cylinder with two hemispherical ends with length 27.00 cm and diameter 17.00 cm. Find the total surface area of the solid

(i)

2180.86 sq.cm
(ii)

2470.86 sq.cm
(iii)

2190.86 sq.cm
(iv)

2350.86 sq.cm
(v)

2500.86 sq.cm

Question 10

10.

If the base radius of a cone is 10.00 cm and vertical height is 8.00 cm, its base area is

(i)

339.29 sq.cm
(ii)

314.29 sq.cm
(iii)

297.29 sq.cm
(iv)

288.29 sq.cm
(v)

320.29 sq.cm

Question 11

11.

If the T.S.A of a cube is 2400.00 sq.cm, its side is

(i)

25.00 cm
(ii)

20.00 cm
(iii)

17.00 cm
(iv)

15.00 cm
(v)

23.00 cm

Question 12

12.

If the three sides of a triangular prism are 13.00 cm, 19.00 cm, 18.00 cm and height is 48.00 cm, its T.S.A is

(i)

2444.50 sq.cm
(ii)

2864.50 sq.cm
(iii)

2794.50 sq.cm
(iv)

2624.50 sq.cm
(v)

2584.50 sq.cm

Question 13

13.

If the L.S.A of a cube is 400.00 sq.cm, its side is

(i)

7.00 cm
(ii)

10.00 cm
(iii)

15.00 cm
(iv)

13.00 cm
(v)

5.00 cm

Question 14

14.

A hemispherical depression is cut out from both ends of a cylinder. The height of the cylinder is 25.00 cm and its radius is 6.00 cm. Find the total surface area of the solid

(i)

1555.43 sq.cm
(ii)

1245.43 sq.cm
(iii)

1395.43 sq.cm
(iv)

1525.43 sq.cm
(v)

1275.43 sq.cm

Question 15

15.

A cylinder with radius 1.00 cm and height 10.00 cm is melted to recast into a cone of height 0.30 cm. Find the radius of the cone.

(i)

7.00 cm
(ii)

13.00 cm
(iii)

15.00 cm
(iv)

10.00 cm
(v)

5.00 cm

Question 16

16.

If the radius of a cylinder is 6.00 cm and height is 18.00 cm, its L.S.A. is

(i)

671.86 sq.cm
(ii)

678.86 sq.cm
(iii)

706.86 sq.cm
(iv)

692.86 sq.cm
(v)

664.86 sq.cm

Question 17

17.

If the three sides of a triangular prism are 15.00 cm, 12.00 cm, 10.00 cm and L.S.A is 1443.00 sq.cm, its base perimeter is

(i)

32.00 cm
(ii)

40.00 cm
(iii)

34.00 cm
(iv)

37.00 cm
(v)

42.00 cm

Question 18

18.

If the side of a cube is 18.00 cm, its T.S.A is

(i)

1964.00 sq.cm
(ii)

1904.00 sq.cm
(iii)

1674.00 sq.cm
(iv)

1944.00 sq.cm
(v)

2094.00 sq.cm

Question 19

19.

Water in a canal, 15 m wide and 3 m deep is flowing with a speed of 6 kmph . How much area will it irrigate in 35 min, if 2 cm of standing water is needed ?

(i)

7755000.00 sq.m
(ii)

7875000.00 sq.m
(iii)

8035000.00 sq.m
(iv)

8025000.00 sq.m
(v)

7805000.00 sq.m

Question 20

20.

An ice cream container has the shape of a right circular cylinder having inner diameter 26.00 cm and height 36.00 cm . The ice cream is filled into cones of diameter 11.00 cm and height 13.00 cm , having a hemispherical shape on the top. Find the number of such complete cones which can be filled with ice cream

(i)

22
(ii)

30
(iii)

28
(iv)

25
(v)

20

Question 21

21.

A well of diameter 14.00 m is dug to a depth of 15.00 m . The soil taken out of it has been spread evenly all around it in the shape of a circular ring of width 4m to form an embankment. Find the height of the embankment.

(i)

5.21 m
(ii)

7.21 m
(iii)

13.21 m
(iv)

10.21 m
(v)

15.21 m

Question 22

22.

From a circular cylinder of diameter 18.00 cm and height 11.00 cm, a conical cavity of the same base radius and of the same height is hollowed out. Find the total surface area of the remaining solid.

(i)

1278.80 sq.cm
(ii)

1308.80 sq.cm
(iii)

1508.80 sq.cm
(iv)

1098.80 sq.cm

Question 23

23.

If the length, breadth and T.S.A of a cuboid are 20.00 cm, 18.00 cm and 1556.00 sq.cm respectively, its L.S.A is

(i)

810.00 sq.cm
(ii)

860.00 sq.cm
(iii)

836.00 sq.cm
(iv)

839.00 sq.cm
(v)

824.00 sq.cm

Question 24

24.

If the T.S.A of a cube is 1536.00 sq.cm, its volume is

(i)

4146.00 cu.cm
(ii)

4076.00 cu.cm
(iii)

4326.00 cu.cm
(iv)

3856.00 cu.cm
(v)

4096.00 cu.cm

Question 25

25.

If the T.S.A of a cube is 384.00 sq.cm, its L.S.A is

(i)

256.00 sq.cm
(ii)

264.00 sq.cm
(iii)

279.00 sq.cm
(iv)

230.00 sq.cm
(v)

242.00 sq.cm

Assignment Key