EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Surface areas and Volumes
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
If the length, breadth and height of a cuboid are 20.00 cm, 19.00 cm and 8.00 cm respectively, its T.S.A is
(i)
1424.00 sq.cm
(ii)
1544.00 sq.cm
(iii)
1384.00 sq.cm
(iv)
1204.00 sq.cm
(v)
1354.00 sq.cm
Question
2
2.
If the L.S.A of a triangular prism is 1188.00 sq.cm, base area is 22.25 sq.cm and height is 54.00 cm, its T.S.A is
(i)
1382.50 sq.cm
(ii)
1102.50 sq.cm
(iii)
1272.50 sq.cm
(iv)
962.50 sq.cm
(v)
1232.50 sq.cm
Question
3
3.
If the three sides of a triangular prism are 15.00 cm, 14.00 cm, 11.00 cm and T.S.A is 866.96 sq.cm, its base area is
(i)
76.48 sq.cm
(ii)
70.48 sq.cm
(iii)
68.48 sq.cm
(iv)
73.48 sq.cm
(v)
78.48 sq.cm
Question
4
4.
If the three sides of a triangular prism are 19.00 cm, 7.00 cm, 18.00 cm and volume is 2454.27 cu.cm, its T.S.A is
(i)
2011.86 sq.cm
(ii)
1781.86 sq.cm
(iii)
1841.86 sq.cm
(iv)
1961.86 sq.cm
(v)
1621.86 sq.cm
Question
5
5.
If the volume of a sphere is 3054.86 cu.cm, its L.S.A is
(i)
1178.29 sq.cm
(ii)
1018.29 sq.cm
(iii)
1248.29 sq.cm
(iv)
738.29 sq.cm
(v)
958.29 sq.cm
Question
6
6.
If the slant height of a cone is 11.31 cm and T.S.A is 485.51 sq.cm, its volume is
(i)
522.38 cu.cm
(ii)
513.38 cu.cm
(iii)
538.38 cu.cm
(iv)
536.38 cu.cm
(v)
550.38 cu.cm
Question
7
7.
If the volume of a triangular prism is 2108.88 cu.cm, base perimeter is 43.00 cm and height is 24.00 cm, its L.S.A is
(i)
1032.00 sq.cm
(ii)
962.00 sq.cm
(iii)
1182.00 sq.cm
(iv)
1092.00 sq.cm
(v)
772.00 sq.cm
Question
8
8.
If the radius of a cylinder is 14.00 cm and height is 20.00 cm, its volume is
(i)
14020.00 cu.cm
(ii)
10920.00 cu.cm
(iii)
12320.00 cu.cm
Question
9
9.
If the base radius of a cone is 6.00 cm and slant height is 10.00 cm, its L.S.A. is
(i)
176.57 sq.cm
(ii)
211.57 sq.cm
(iii)
188.57 sq.cm
(iv)
206.57 sq.cm
(v)
164.57 sq.cm
Question
10
10.
If the vertical height of a cone is 5.00 cm and volume is 130.95 cu.cm, its T.S.A is
(i)
187.67 sq.cm
(ii)
194.67 sq.cm
(iii)
211.67 sq.cm
(iv)
165.67 sq.cm
(v)
189.67 sq.cm
Question
11
11.
If the length, breadth and L.S.A of a cuboid are 16.00 cm, 6.00 cm and 484.00 sq.cm respectively, its T.S.A is
(i)
660.00 sq.cm
(ii)
678.00 sq.cm
(iii)
659.00 sq.cm
(iv)
694.00 sq.cm
(v)
676.00 sq.cm
Question
12
12.
If the three sides of a triangular prism are 18.00 cm, 13.00 cm, 15.00 cm and T.S.A is 1433.84 sq.cm, its base perimeter is
(i)
49.00 cm
(ii)
43.00 cm
(iii)
41.00 cm
(iv)
46.00 cm
(v)
51.00 cm
Question
13
13.
If the height of a cylinder is 9.00 cm and base area is 908.29 sq.cm, its volume is
(i)
8394.57 cu.cm
(ii)
8024.57 cu.cm
(iii)
8174.57 cu.cm
(iv)
7914.57 cu.cm
(v)
8354.57 cu.cm
Question
14
14.
If the three sides of a triangular prism are 14.00 cm, 16.00 cm, 11.00 cm and T.S.A is 1626.94 sq.cm, its L.S.A is
(i)
1476.00 sq.cm
(ii)
1606.00 sq.cm
(iii)
1696.00 sq.cm
(iv)
1306.00 sq.cm
(v)
1326.00 sq.cm
Question
15
15.
A solid consists of a cylinder with two hemispherical ends with length 32.00 cm and diameter 16.00 cm. Find the total surface area of the solid
(i)
2543.71 sq.cm
(ii)
2413.71 sq.cm
(iii)
2563.71 sq.cm
(iv)
2133.71 sq.cm
(v)
2293.71 sq.cm
Question
16
16.
From a solid cylinder of height 12.00 cm and base radius 5.00 cm, a conical cavity of height 6.00 cm and base radius 5.00 cm is drilled out. Find the total surface area of the resulting solid
(i)
556.44 sq.cm
(ii)
578.44 sq.cm
(iii)
595.44 sq.cm
(iv)
576.44 sq.cm
(v)
581.44 sq.cm
Question
17
17.
From a circular cylinder of diameter 20.00 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)
1233.06 sq.cm
(ii)
1473.06 sq.cm
(iii)
1403.06 sq.cm
(iv)
1693.06 sq.cm
(v)
1653.06 sq.cm
Question
18
18.
If the base radius of a cone is 9.00 cm and slant height is 11.40 cm, its volume is
(i)
568.00 cu.cm
(ii)
577.00 cu.cm
(iii)
594.00 cu.cm
(iv)
612.00 cu.cm
(v)
607.00 cu.cm
Question
19
19.
If the L.S.A of a triangular prism is 1215.00 sq.cm, base area is 31.42 sq.cm and height is 45.00 cm, its base perimeter is
(i)
32.00 cm
(ii)
22.00 cm
(iii)
30.00 cm
(iv)
27.00 cm
(v)
24.00 cm
Question
20
20.
The height of a right circular cone is 19.00 cm and the radius of its base is 8.00 cm. It is melted and recast into a right circular cone with base radius 6.40 cm. Find the new height
(i)
24.69 cm
(ii)
29.69 cm
(iii)
32.69 cm
(iv)
26.69 cm
(v)
34.69 cm
Question
21
21.
If the three sides of a triangular prism are 19.00 cm, 12.00 cm, 17.00 cm and volume is 4518.00 cu.cm, its height is
(i)
42.00 cm
(ii)
45.00 cm
(iii)
40.00 cm
(iv)
48.00 cm
(v)
50.00 cm
Question
22
22.
If the breadth, height and L.S.A of a cuboid are 12.00 cm, 19.00 cm and 1064.00 sq.cm respectively, its volume is
(i)
3698.00 cu.cm
(ii)
3378.00 cu.cm
(iii)
3648.00 cu.cm
(iv)
3578.00 cu.cm
(v)
3908.00 cu.cm
Question
23
23.
Two cubes each of volume 2197.00 cu.cm are joined end to end . Find the surface area of the resulting cuboid.
(i)
1690.00 sq.cm
(ii)
1570.00 sq.cm
(iii)
1760.00 sq.cm
(iv)
1960.00 sq.cm
(v)
1410.00 sq.cm
Question
24
24.
If the L.S.A of a triangular prism is 1458.00 sq.cm, base area is 134.70 sq.cm and base perimeter is 54.00 cm, its height is
(i)
32.00 cm
(ii)
22.00 cm
(iii)
30.00 cm
(iv)
24.00 cm
(v)
27.00 cm
Question
25
25.
If the L.S.A of a triangular prism is 1155.00 sq.cm, base area is 54.88 sq.cm and height is 33.00 cm, its volume is
(i)
1751.04 cu.cm
(ii)
1671.04 cu.cm
(iii)
1941.04 cu.cm
(iv)
1811.04 cu.cm
(v)
1961.04 cu.cm
Assignment Key
1) (iii)
2) (v)
3) (iv)
4) (iii)
5) (ii)
6) (iv)
7) (i)
8) (iii)
9) (iii)
10) (v)
11) (v)
12) (iv)
13) (iii)
14) (i)
15) (ii)
16) (ii)
17) (ii)
18) (iii)
19) (iv)
20) (ii)
21) (ii)
22) (iii)
23) (i)
24) (v)
25) (iv)