EduSahara™ Worksheet

Question 1

1.

If the length, height and L.S.A of a cuboid are 19.00 cm, 18.00 cm and 1188.00 sq.cm respectively, its volume is

(i)

4788.00 cu.cm
(ii)

4768.00 cu.cm
(iii)

4608.00 cu.cm
(iv)

4938.00 cu.cm
(v)

4918.00 cu.cm

Question 2

2.

A well of diameter 12.00 m is dug to a depth of 10.00 m . The soil taken out of it has been spread evenly all around it in the shape of a circular ring of width 10m to form an embankment. Find the height of the embankment.

(i)

3.64 m
(ii)

0.64 m
(iii)

9.64 m
(iv)

1.64 m
(v)

2.64 m

Question 3

3.

If the length, breadth and volume of a cuboid are 20.00 cm, 19.00 cm and 2660.00 cu.cm respectively, its L.S.A is

(i)

546.00 sq.cm
(ii)

552.00 sq.cm
(iii)

530.00 sq.cm
(iv)

564.00 sq.cm
(v)

531.00 sq.cm

Question 4

4.

A solid metallic cylinder of base radius 6.50 cm and height 15.00 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)

1901
(ii)

1651
(iii)

1961
(iv)

1881
(v)

2071

Question 5

5.

If the radius of a sphere is 8.00 cm, its L.S.A is

(i)

822.57 sq.cm
(ii)

804.57 sq.cm
(iii)

810.57 sq.cm
(iv)

791.57 sq.cm

Question 6

6.

A hollow metallic cylindrical tube has an internal radius of 11.50 cm and height 20.00 cm. The thickness of the metal is 5 cm .The tube is melted to cast into a right circular cone of height 6.00 cm. Find the radius of the cone.

(i)

40.42 cm
(ii)

42.42 cm
(iii)

34.42 cm
(iv)

37.42 cm
(v)

32.42 cm

Question 7

7.

If the volume of a cube is 512.00 cu.cm, its T.S.A is

(i)

362.00 sq.cm
(ii)

386.00 sq.cm
(iii)

384.00 sq.cm
(iv)

367.00 sq.cm
(v)

407.00 sq.cm

Question 8

8.

From a solid cylinder of height 19.00 cm and base radius 9.50 cm, a conical cavity of height 13.00 cm and base radius 9.50 cm is drilled out. Find the volume of the resulting solid

(i)

3930.10 cu.cm
(ii)

4310.10 cu.cm
(iii)

4160.10 cu.cm
(iv)

4240.10 cu.cm
(v)

4130.10 cu.cm

Question 9

9.

If the length, height and L.S.A of a cuboid are 9.00 cm, 9.00 cm and 270.00 sq.cm respectively, its T.S.A is

(i)

361.00 sq.cm
(ii)

362.00 sq.cm
(iii)

400.00 sq.cm
(iv)

380.00 sq.cm
(v)

378.00 sq.cm

Question 10

10.

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 23.00 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the total surface area of the solid, if the height of the conical part is 11.00 cm

(i)

1720.80 sq.cm
(ii)

1980.80 sq.cm
(iii)

2140.80 sq.cm
(iv)

1770.80 sq.cm
(v)

1900.80 sq.cm

Question 11

11.

If the base radius of a cone is 8.00 cm and slant height is 9.43 cm, its T.S.A is

(i)

455.24 sq.cm
(ii)

453.24 sq.cm
(iii)

414.24 sq.cm
(iv)

438.24 sq.cm
(v)

436.24 sq.cm

Question 12

12.

From a circular cylinder of diameter 12.00 cm and height 15.00 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)

999.59 sq.cm
(ii)

995.59 sq.cm
(iii)

967.59 sq.cm
(iv)

976.59 sq.cm
(v)

983.59 sq.cm

Question 13

13.

If the volume of a cube is 3375.00 cu.cm, its L.S.A is

(i)

894.00 sq.cm
(ii)

900.00 sq.cm
(iii)

883.00 sq.cm
(iv)

915.00 sq.cm
(v)

916.00 sq.cm

Question 14

14.

From a solid cylinder of height 20.00 cm and base radius 8.50 cm, a conical cavity of height 8.00 cm and base radius 8.50 cm is drilled out. Find the total surface area of the resulting solid

(i)

1587.40 sq.cm
(ii)

1637.40 sq.cm
(iii)

1747.40 sq.cm
(iv)

1607.40 sq.cm
(v)

1437.40 sq.cm

Question 15

15.

If the volume of a sphere is 523.81 cu.cm, its T.S.A is

(i)

310.29 sq.cm
(ii)

336.29 sq.cm
(iii)

314.29 sq.cm
(iv)

316.29 sq.cm
(v)

297.29 sq.cm

Question 16

16.

A wooden toy rocket is in the shape of a cone mounted on a cylinder. The height of the conical part is 13.00 cm , while the height of the cylindrical part is 26.00 cm. The base of the conical portion has a diameter of 16.00 cm while the base diameter of the cylindrical portion is 10.00 cm. If the conical portion is painted with red and cylindrical portion with pink, find the area of the rocket painted with each of these colors

(i)
red

area =

507.25 sq.cm

,

pink

area =

896.71 sq.cm
(ii)
red

area =

505.25 sq.cm

,

pink

area =

894.71 sq.cm
(iii)
red

area =

504.25 sq.cm

,

pink

area =

893.71 sq.cm
(iv)
red

area =

508.25 sq.cm

,

pink

area =

897.71 sq.cm
(v)
red

area =

506.25 sq.cm

,

pink

area =

895.71 sq.cm

Question 17

17.

If the length, height and T.S.A of a cuboid are 17.00 cm, 5.00 cm and 390.00 sq.cm respectively, its volume is

(i)

402.00 cu.cm
(ii)

431.00 cu.cm
(iii)

443.00 cu.cm
(iv)

425.00 cu.cm
(v)

408.00 cu.cm

Question 18

18.

If the base radius of a cone is 10.00 cm and vertical height is 7.00 cm, its T.S.A is

(i)

698.03 sq.cm
(ii)

672.03 sq.cm
(iii)

705.03 sq.cm
(iv)

711.03 sq.cm
(v)

696.03 sq.cm

Question 19

19.

If the slant height of a cone is 12.04 cm and vertical height is 9.00 cm, its L.S.A. is

(i)

286.72 sq.cm
(ii)

305.72 sq.cm
(iii)

290.72 sq.cm
(iv)

302.72 sq.cm
(v)

316.72 sq.cm

Question 20

20.

A tent is in the form of a cylinder surmounted by a cone., The height of the tent above the ground is 26 m and the height of the cylindrical part is 17.00 m. If the diameter of the base is 20.00 m, find the quantity of canvas required to make the tent. Allow 15% extra for folds and for stitching.