SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Mensuration
Question 1
1.
A well of diameter 17.00 m is dug to a depth of 18.00 m and the soil from digging is evenly spread out to form a platform of base dimensions 22.00 m✕23.00 m . Find the height of the platform
  • 9.08 m
  • 8.08 m
  • 10.08 m
  • 6.08 m
  • 7.08 m
Question 2
2.
If the three sides of a triangular prism are 12.00 cm, 14.00 cm, 8.00 cm and height is 15.00 cm, its T.S.A is
  • 623.82 sq.cm
  • 582.82 sq.cm
  • 605.82 sq.cm
  • 619.82 sq.cm
  • 603.82 sq.cm
Question 3
3.
A hemispherical depression is cut out from one face of a cylinder. The height of the cylinder is 36.00 cm and its radius is 8.50 cm. Find the total surface area of the solid
  • 2424.64 sq.cm
  • 2864.64 sq.cm
  • 2604.64 sq.cm
  • 2734.64 sq.cm
  • 2474.64 sq.cm
Question 4
4.
A solid metallic cylinder of base radius 6.50 cm and height 10.00 cm is melted to form cones each of height 1.00 cm and radius 1.00 cm . Find the number of complete cones formed
  • 1437
  • 1267
  • 1187
  • 1427
  • 1147
Question 5
5.
If the length, breadth and T.S.A of a cuboid are 10.00 cm, 6.00 cm and 376.00 sq.cm respectively, its L.S.A is
  • 256.00 sq.cm
  • 281.00 sq.cm
  • 243.00 sq.cm
  • 250.00 sq.cm
  • 274.00 sq.cm
Question 6
6.
If the radius of a cylinder is 10.00 cm and height is 18.00 cm, its L.S.A. is
  • 1071.43 sq.cm
  • 871.43 sq.cm
  • 1401.43 sq.cm
  • 1281.43 sq.cm
  • 1131.43 sq.cm
Question 7
7.
A cone of maximum volume is carved out of a cube of edge 7.00 cm. Find the volume of the remaining material after the cone is carved out
  • 236.17 cu.cm
  • 261.17 cu.cm
  • 237.17 cu.cm
  • 253.17 cu.cm
  • 267.17 cu.cm
Question 8
8.
If the L.S.A of a triangular prism is 903.00 sq.cm, T.S.A is 1053.00 sq.cm and height is 21.00 cm, its base area is
  • 78.00 sq.cm
  • 80.00 sq.cm
  • 70.00 sq.cm
  • 72.00 sq.cm
  • 75.00 sq.cm
Question 9
9.
If the base radius of a cone is 8.00 cm and slant height is 9.43 cm, its L.S.A. is
  • 237.10 sq.cm
  • 233.10 sq.cm
  • 243.10 sq.cm
  • 265.10 sq.cm
  • 214.10 sq.cm
Question 10
10.
If the base radius of a cone is 10.00 cm and vertical height is 9.00 cm, its T.S.A is
  • 737.00 sq.cm
  • 734.00 sq.cm
  • 725.00 sq.cm
  • 744.00 sq.cm
  • 752.00 sq.cm