SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade IX - Surface areas and Volumes
Question 1
1.
If the volume of a sphere is 5577.52 cu.cm, its T.S.A is
  • 1641.14 sq.cm
  • 1781.14 sq.cm
  • 1471.14 sq.cm
  • 1521.14 sq.cm
  • 1401.14 sq.cm
Question 2
2.
A wooden toy rocket is in the shape of a cone mounted on a cylinder. The height of the conical part is 10.00 cm , while the height of the cylindrical part is 20.00 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 gray and cylindrical portion with blue, find the area of the rocket painted with each of these colors
      • gray
      • area =
      • 445.65 sq.cm
      • ,
      • blue
      • area =
      • 708.14 sq.cm
      • gray
      • area =
      • 442.65 sq.cm
      • ,
      • blue
      • area =
      • 705.14 sq.cm
      • gray
      • area =
      • 443.65 sq.cm
      • ,
      • blue
      • area =
      • 706.14 sq.cm
      • gray
      • area =
      • 444.65 sq.cm
      • ,
      • blue
      • area =
      • 707.14 sq.cm
      • gray
      • area =
      • 446.65 sq.cm
      • ,
      • blue
      • area =
      • 709.14 sq.cm
Question 3
3.
If the radius of a cylinder is 8.00 cm and T.S.A is 1206.86 sq.cm, its L.S.A. is
  • 802.57 sq.cm
  • 820.57 sq.cm
  • 786.57 sq.cm
  • 809.57 sq.cm
  • 804.57 sq.cm
Question 4
4.
If the L.S.A of a cube is 576.00 sq.cm, its volume is
  • 1598.00 cu.cm
  • 1728.00 cu.cm
  • 1578.00 cu.cm
  • 1748.00 cu.cm
  • 1948.00 cu.cm
Question 5
5.
If the length, breadth and height of a cuboid are 13.00 cm, 9.00 cm and 19.00 cm respectively, its L.S.A is
  • 836.00 sq.cm
  • 844.00 sq.cm
  • 829.00 sq.cm
  • 848.00 sq.cm
  • 809.00 sq.cm
Question 6
6.
If the three sides of a triangular prism are 20.00 cm, 19.00 cm, 11.00 cm and L.S.A is 1050.00 sq.cm, its height is
  • 18.00 cm
  • 24.00 cm
  • 21.00 cm
  • 16.00 cm
  • 26.00 cm
Question 7
7.
If the three sides of a triangular prism are 20.00 cm, 20.00 cm, 15.00 cm and L.S.A is 1155.00 sq.cm, its volume is
  • 2960.05 cu.cm
  • 2640.05 cu.cm
  • 3140.05 cu.cm
  • 2860.05 cu.cm
  • 2920.05 cu.cm
Question 8
8.
If two solids, a cube and a hemisphere are combined such that the base of the block is a cube with edge 17.00 cm and the hemisphere fixed on the top has a diameter of 12.00 cm, find the total surface area of the block.
  • 1977.14 sq.cm
  • 2117.14 sq.cm
  • 1847.14 sq.cm
  • 1707.14 sq.cm
  • 1797.14 sq.cm
Question 9
9.
If the slant height of a cone is 10.82 cm and vertical height is 9.00 cm, its volume is
  • 321.43 cu.cm
  • 355.43 cu.cm
  • 363.43 cu.cm
  • 339.43 cu.cm
Question 10
10.
A hollow sphere of internal and external diameters 28.00 cm and 34.00 cm respectively is melted into a cone of base diameter 14.00 cm. Find the height of the cone
  • 150.06 cm
  • 193.06 cm
  • 177.06 cm
  • 199.06 cm
  • 162.06 cm