SSC Board Practice

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SSC Grade IX - Surface areas and Volumes
Question 1
1.
The height of a right circular cone is 27.00 cm and the radius of its base is 12.00 cm. It is melted and recast into a right circular cone with base radius 6.00 cm. Find the new height
  • 108.00 cm
  • 125.00 cm
  • 100.00 cm
  • 84.00 cm
  • 111.00 cm
Question 2
2.
If the L.S.A of a cube is 196.00 sq.cm, its volume is
  • 345.00 cu.cm
  • 370.00 cu.cm
  • 317.00 cu.cm
  • 343.00 cu.cm
  • 336.00 cu.cm
Question 3
3.
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 6.00 cm and 21.00 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 10.00 cm
  • 3085.71 cu.cm
  • 3235.71 cu.cm
  • 3435.71 cu.cm
  • 3205.71 cu.cm
  • 3165.71 cu.cm
Question 4
4.
If the length, breadth and T.S.A of a cuboid are 16.00 cm, 10.00 cm and 684.00 sq.cm respectively, its L.S.A is
  • 359.00 sq.cm
  • 376.00 sq.cm
  • 380.00 sq.cm
  • 340.00 sq.cm
  • 364.00 sq.cm
Question 5
5.
If the L.S.A of a triangular prism is 1443.00 sq.cm, base area is 55.31 sq.cm and base perimeter is 37.00 cm, its volume is
  • 2297.09 cu.cm
  • 1877.09 cu.cm
  • 2417.09 cu.cm
  • 2037.09 cu.cm
  • 2157.09 cu.cm
Question 6
6.
A copper sphere having a radius of 6.00 cm is melted and drawn into a cylindrical wire of radius 0.80 cm. Calculate the length of the wire.
  • 3.50 m
  • 6.50 m
  • 5.50 m
  • 2.50 m
  • 4.50 m
Question 7
7.
If the radius of a cylinder is 10.00 cm and T.S.A is 1194.29 sq.cm, its L.S.A. is
  • 537.71 sq.cm
  • 578.71 sq.cm
  • 580.71 sq.cm
  • 557.71 sq.cm
  • 565.71 sq.cm
Question 8
8.
If the L.S.A of a triangular prism is 693.00 sq.cm, base area is 51.52 sq.cm and height is 21.00 cm, its volume is
  • 1061.92 cu.cm
  • 1261.92 cu.cm
  • 921.92 cu.cm
  • 1121.92 cu.cm
  • 1081.92 cu.cm
Question 9
9.
A solid metallic cylinder of base radius 2.50 cm and height 7.00 cm is melted to form cones each of height 1.00 cm and radius 1.00 cm . Find the number of complete cones formed
  • 116
  • 131
  • 149
  • 108
  • 147
Question 10
10.
If the T.S.A of a sphere is 4073.14 sq.cm, its L.S.A is
  • 3923.14 sq.cm
  • 3793.14 sq.cm
  • 4233.14 sq.cm
  • 4193.14 sq.cm
  • 4073.14 sq.cm