SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Mensuration
Question 1
1.
A cone of maximum volume is carved out of a cuboid of dimensions 30.00 cm✕30.00 cm✕10.00 cm. Find the volume of the remaining material after the cone is carved out
  • 6662.86 cu.cm
  • 6492.86 cu.cm
  • 6642.86 cu.cm
  • 6822.86 cu.cm
  • 6482.86 cu.cm
Question 2
2.
If the length, height and T.S.A of a cuboid are 17.00 cm, 19.00 cm and 1654.00 sq.cm respectively, its volume is
  • 4442.00 cu.cm
  • 4352.00 cu.cm
  • 4522.00 cu.cm
  • 4662.00 cu.cm
  • 4802.00 cu.cm
Question 3
3.
A cylinder with radius 2.00 cm and height 4.00 cm is melted to recast into a cone of height 5.33 cm. Find the radius of the cone.
  • 2.00 cm
  • 1.00 cm
  • 5.00 cm
  • 4.00 cm
  • 3.00 cm
Question 4
4.
If the slant height of a cone is 10.00 cm and vertical height is 6.00 cm, its volume is
  • 377.29 cu.cm
  • 396.29 cu.cm
  • 406.29 cu.cm
  • 415.29 cu.cm
  • 402.29 cu.cm
Question 5
5.
From a circular cylinder of diameter 19.00 cm and height 17.00 cm, a conical cavity of the same base radius and of the same height is hollowed out. Find the volume of the remaining solid.
  • 3364.62 cu.cm
  • 3034.62 cu.cm
  • 3394.62 cu.cm
  • 3214.62 cu.cm
  • 3054.62 cu.cm
Question 6
6.
An open cylindrical vessel of internal diameter 17.00 cm and height 10.00 cm stands on a horizontal table. Inside this is placed a solid metallic right circular cone, the diameter of whose base is 8.50 cm and height 10.00 cm and filled with water. If the cone is replaced by another cone whose height is 4.00 cm and base radius is 2.55 cm, find the drop in the water level.
  • 8.71 cm
  • 7.71 cm
  • 1.71 cm
  • 0.71 cm
  • 2.71 cm
Question 7
7.
If the radius of a cylinder is 18.00 cm and height is 5.00 cm, its L.S.A. is
  • 582.71 sq.cm
  • 548.71 sq.cm
  • 561.71 sq.cm
  • 565.71 sq.cm
  • 577.71 sq.cm
Question 8
8.
The surface area of a solid metallic sphere is 7241.14 sq.cm. It is melted and recasted into solid right circular cones of radius 16.80 cm and height 7.20 cm . Find the number of complete cones that can be made
  • 30
  • 32
  • 27
  • 24
  • 22
Question 9
9.
If the radius of a cylinder is 13.00 cm and height is 18.00 cm, its base area is
  • 548.14 sq.cm
  • 546.14 sq.cm
  • 531.14 sq.cm
  • 518.14 sq.cm
  • 513.14 sq.cm
Question 10
10.
If the volume of a cube is 4913.00 cu.cm, its side is
  • 22.00 cm
  • 20.00 cm
  • 12.00 cm
  • 17.00 cm
  • 14.00 cm