CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Surface Areas and Volumes
Question 1
1.
If the volume of a cube is 4913.00 cu.cm, its L.S.A is
  • 976.00 sq.cm
  • 1316.00 sq.cm
  • 1156.00 sq.cm
  • 986.00 sq.cm
Question 2
2.
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 7.50 cm and 28.50 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the total surface area of the solid, if the height of the conical part is 17.00 cm
  • 2015.10 sq.cm
  • 2355.10 sq.cm
  • 1965.10 sq.cm
  • 2135.10 sq.cm
  • 2275.10 sq.cm
Question 3
3.
If the radius of a cylinder is 20.00 cm and L.S.A is 1634.29 sq.cm, its T.S.A is
  • 4388.57 sq.cm
  • 4148.57 sq.cm
  • 4028.57 sq.cm
  • 3978.57 sq.cm
  • 4308.57 sq.cm
Question 4
4.
If the base radius of a cone is 8.00 cm and volume is 603.43 cu.cm, its T.S.A is
  • 478.86 sq.cm
  • 520.86 sq.cm
  • 503.86 sq.cm
  • 485.86 sq.cm
Question 5
5.
A wooden toy rocket is in the shape of a cone mounted on a cylinder. The height of the conical part is 12.00 cm , while the height of the cylindrical part is 24.00 cm. The base of the conical portion has a diameter of 14.00 cm while the base diameter of the cylindrical portion is 8.00 cm. If the conical portion is painted with blue and cylindrical portion with orange, find the area of the rocket painted with each of these colors
      • blue
      • area =
      • 408.29 sq.cm
      • ,
      • orange
      • area =
      • 652.71 sq.cm
      • blue
      • area =
      • 407.29 sq.cm
      • ,
      • orange
      • area =
      • 651.71 sq.cm
      • blue
      • area =
      • 410.29 sq.cm
      • ,
      • orange
      • area =
      • 654.71 sq.cm
      • blue
      • area =
      • 409.29 sq.cm
      • ,
      • orange
      • area =
      • 653.71 sq.cm
      • blue
      • area =
      • 411.29 sq.cm
      • ,
      • orange
      • area =
      • 655.71 sq.cm
Question 6
6.
A well of diameter 15.00 m is dug to a depth of 19.00 m . The soil taken out of it has been spread evenly all around it in the shape of a circular ring of width 3m to form an embankment. Find the height of the embankment.
  • 16.79 m
  • 22.79 m
  • 14.79 m
  • 19.79 m
  • 24.79 m
Question 7
7.
From a solid cylinder of height 17.00 cm and base radius 7.00 cm, a conical cavity of height 9.00 cm and base radius 7.00 cm is drilled out. Find the volume of the resulting solid
  • 2156.00 cu.cm
  • 2036.00 cu.cm
  • 2286.00 cu.cm
Question 8
8.
If the breadth, height and volume of a cuboid are 6.00 cm, 12.00 cm and 1152.00 cu.cm respectively, its T.S.A is
  • 720.00 sq.cm
  • 724.00 sq.cm
  • 748.00 sq.cm
  • 712.00 sq.cm
  • 704.00 sq.cm
Question 9
9.
A solid consists of a cylinder with one hemispherical end with length 24.00 cm and diameter 11.00 cm. Find the total surface area of the solid
  • 1114.93 sq.cm
  • 1194.93 sq.cm
  • 1364.93 sq.cm
  • 984.93 sq.cm
  • 1044.93 sq.cm
Question 10
10.
If the T.S.A of a cube is 600.00 sq.cm, its volume is
  • 730.00 cu.cm
  • 940.00 cu.cm
  • 1020.00 cu.cm
  • 1000.00 cu.cm
  • 1220.00 cu.cm