EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Surface areas and Volumes
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
If the breadth, height and volume of a cuboid are 9.00 cm, 11.00 cm and 1980.00 cu.cm respectively, its T.S.A is
(i)
1001.00 sq.cm
(ii)
973.00 sq.cm
(iii)
1016.00 sq.cm
(iv)
992.00 sq.cm
(v)
998.00 sq.cm
Question
2
2.
A hemispherical depression is cut out from one face of a cylinder. The height of the cylinder is 29.00 cm and its radius is 7.00 cm. Find the total surface area of the solid
(i)
1738.00 sq.cm
(ii)
2018.00 sq.cm
(iii)
1598.00 sq.cm
(iv)
1788.00 sq.cm
(v)
1708.00 sq.cm
Question
3
3.
If the side of a cube is 15.00 cm, its L.S.A is
(i)
884.00 sq.cm
(ii)
918.00 sq.cm
(iii)
900.00 sq.cm
(iv)
885.00 sq.cm
(v)
903.00 sq.cm
Question
4
4.
If the three sides of a triangular prism are 19.00 cm, 14.00 cm, 18.00 cm and L.S.A is 2142.00 sq.cm, its height is
(i)
47.00 cm
(ii)
39.00 cm
(iii)
45.00 cm
(iv)
37.00 cm
(v)
42.00 cm
Question
5
5.
A solid metallic cylinder of base radius 6.50 cm and height 19.00 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)
2228
(ii)
2528
(iii)
2268
(iv)
2408
(v)
2638
Question
6
6.
Two cubes each of volume 1331.00 cu.cm are joined end to end . Find the surface area of the resulting cuboid.
(i)
1210.00 sq.cm
(ii)
1270.00 sq.cm
(iii)
1090.00 sq.cm
(iv)
1380.00 sq.cm
(v)
1040.00 sq.cm
Question
7
7.
If the three sides of a triangular prism are 19.00 cm, 16.00 cm, 16.00 cm and volume is 6971.67 cu.cm, its L.S.A is
(i)
2737.00 sq.cm
(ii)
2647.00 sq.cm
(iii)
3127.00 sq.cm
(iv)
2907.00 sq.cm
(v)
2927.00 sq.cm
Question
8
8.
If the volume of a sphere is 17164.19 cu.cm, its L.S.A is
(i)
3138.29 sq.cm
(ii)
3358.29 sq.cm
(iii)
3218.29 sq.cm
(iv)
3278.29 sq.cm
(v)
2968.29 sq.cm
Question
9
9.
A cylinder with radius 10.00 cm and height 10.00 cm is melted to recast into a cone of height 83.33 cm. Find the radius of the cone.
(i)
7.00 cm
(ii)
4.00 cm
(iii)
5.00 cm
(iv)
6.00 cm
(v)
8.00 cm
Question
10
10.
If the volume of a triangular prism is 2159.55 cu.cm, base perimeter is 39.00 cm and height is 45.00 cm, its L.S.A is
(i)
1755.00 sq.cm
(ii)
1615.00 sq.cm
(iii)
1525.00 sq.cm
(iv)
1975.00 sq.cm
(v)
1915.00 sq.cm
Question
11
11.
If the three sides of a triangular prism are 17.00 cm, 17.00 cm, 5.00 cm and T.S.A is 669.08 sq.cm, its base area is
(i)
37.04 sq.cm
(ii)
47.04 sq.cm
(iii)
45.04 sq.cm
(iv)
42.04 sq.cm
(v)
39.04 sq.cm
Question
12
12.
If the length, breadth and L.S.A of a cuboid are 15.00 cm, 9.00 cm and 240.00 sq.cm respectively, its T.S.A is
(i)
510.00 sq.cm
(ii)
485.00 sq.cm
(iii)
523.00 sq.cm
(iv)
522.00 sq.cm
(v)
497.00 sq.cm
Question
13
13.
If the height of a cylinder is 17.00 cm and base area is 78.57 sq.cm, its volume is
(i)
1335.71 cu.cm
(ii)
1585.71 cu.cm
(iii)
1515.71 cu.cm
(iv)
1115.71 cu.cm
(v)
1275.71 cu.cm
Question
14
14.
If the radius of a cylinder is 16.00 cm and L.S.A is 2011.43 sq.cm, its volume is
(i)
18591.43 cu.cm
(ii)
16091.43 cu.cm
(iii)
14291.43 cu.cm
(iv)
16491.43 cu.cm
Question
15
15.
If the three sides of a triangular prism are 11.00 cm, 18.00 cm, 20.00 cm and L.S.A is 1029.00 sq.cm, its base perimeter is
(i)
46.00 cm
(ii)
54.00 cm
(iii)
52.00 cm
(iv)
49.00 cm
(v)
44.00 cm
Question
16
16.
If the L.S.A of a triangular prism is 1296.00 sq.cm, base area is 26.83 sq.cm and height is 54.00 cm, its volume is
(i)
1228.82 cu.cm
(ii)
1588.82 cu.cm
(iii)
1448.82 cu.cm
(iv)
1398.82 cu.cm
(v)
1578.82 cu.cm
Question
17
17.
If the L.S.A of a sphere is 3633.14 sq.cm, its T.S.A is
(i)
3633.14 sq.cm
(ii)
3503.14 sq.cm
(iii)
3793.14 sq.cm
(iv)
3753.14 sq.cm
(v)
3483.14 sq.cm
Question
18
18.
If the slant height of a cone is 9.43 cm and L.S.A is 148.19 sq.cm, its volume is
(i)
195.52 cu.cm
(ii)
201.52 cu.cm
(iii)
214.52 cu.cm
(iv)
222.52 cu.cm
(v)
209.52 cu.cm
Question
19
19.
If the vertical height of a cone is 8.00 cm and volume is 301.71 cu.cm, its T.S.A is
(i)
319.71 sq.cm
(ii)
287.71 sq.cm
(iii)
288.71 sq.cm
(iv)
317.71 sq.cm
(v)
301.71 sq.cm
Question
20
20.
If the slant height of a cone is 7.07 cm and T.S.A is 189.67 sq.cm, its volume is
(i)
130.95 cu.cm
(ii)
102.95 cu.cm
(iii)
134.95 cu.cm
(iv)
125.95 cu.cm
(v)
154.95 cu.cm
Question
21
21.
If the L.S.A of a triangular prism is 1176.00 sq.cm, T.S.A is 1391.62 sq.cm and height is 24.00 cm, its base perimeter is
(i)
44.00 cm
(ii)
49.00 cm
(iii)
46.00 cm
(iv)
54.00 cm
(v)
52.00 cm
Question
22
22.
If the base radius of a cone is 8.00 cm and vertical height is 10.00 cm, its L.S.A. is
(i)
324.08 sq.cm
(ii)
310.08 sq.cm
(iii)
306.08 sq.cm
(iv)
335.08 sq.cm
(v)
322.08 sq.cm
Question
23
23.
If the slant height of a cone is 10.30 cm and vertical height is 9.00 cm, its L.S.A. is
(i)
149.86 sq.cm
(ii)
183.86 sq.cm
(iii)
176.86 sq.cm
(iv)
144.86 sq.cm
(v)
161.86 sq.cm
Question
24
24.
If the base perimeter of a triangular prism is 24.00 cm, base area is 25.46 sq.cm and height is 48.00 cm, its T.S.A is
(i)
1342.92 sq.cm
(ii)
1202.92 sq.cm
(iii)
1022.92 sq.cm
(iv)
1462.92 sq.cm
Question
25
25.
If the base perimeter of a triangular prism is 43.00 cm, base area is 71.93 sq.cm and height is 24.00 cm, its volume is
(i)
1596.32 cu.cm
(ii)
1906.32 cu.cm
(iii)
1566.32 cu.cm
(iv)
1726.32 cu.cm
(v)
1776.32 cu.cm
Assignment Key
1) (v)
2) (i)
3) (iii)
4) (v)
5) (iv)
6) (i)
7) (iv)
8) (iii)
9) (iv)
10) (i)
11) (iv)
12) (i)
13) (i)
14) (ii)
15) (iv)
16) (iii)
17) (i)
18) (v)
19) (v)
20) (i)
21) (ii)
22) (v)
23) (v)
24) (ii)
25) (iv)