EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Surface areas and Volumes
Grade : SSC Grade IX
License : Non Commercial Use
Question 1
1.
If the slant height of a cone is 9.43 cm and vertical height is 5.00 cm, its volume is
  • (i)
    335.24 cu.cm
  • (ii)
    341.24 cu.cm
  • (iii)
    353.24 cu.cm
  • (iv)
    309.24 cu.cm
  • (v)
    332.24 cu.cm
Question 2
2.
If the length, breadth and T.S.A of a cuboid are 14.00 cm, 8.00 cm and 532.00 sq.cm respectively, its L.S.A is
  • (i)
    320.00 sq.cm
  • (ii)
    281.00 sq.cm
  • (iii)
    333.00 sq.cm
  • (iv)
    308.00 sq.cm
  • (v)
    294.00 sq.cm
Question 3
3.
If the radius of a cylinder is 17.00 cm and L.S.A is 1175.43 sq.cm, its T.S.A is
  • (i)
    2872.00 sq.cm
  • (ii)
    2992.00 sq.cm
  • (iii)
    3162.00 sq.cm
  • (iv)
    3132.00 sq.cm
  • (v)
    2822.00 sq.cm
Question 4
4.
If the volume of a triangular prism is 994.95 cu.cm, base perimeter is 40.00 cm and base area is 66.33 sq.cm, its T.S.A is
  • (i)
    732.66 sq.cm
  • (ii)
    754.66 sq.cm
  • (iii)
    746.66 sq.cm
  • (iv)
    729.66 sq.cm
  • (v)
    717.66 sq.cm
Question 5
5.
If the length, height and L.S.A of a cuboid are 14.00 cm, 6.00 cm and 300.00 sq.cm respectively, its volume is
  • (i)
    901.00 cu.cm
  • (ii)
    924.00 cu.cm
  • (iii)
    919.00 cu.cm
  • (iv)
    942.00 cu.cm
  • (v)
    950.00 cu.cm
Question 6
6.
If the three sides of a triangular prism are 17.00 cm, 14.00 cm, 15.00 cm and volume is 5681.76 cu.cm, its T.S.A is
  • (i)
    2951.36 sq.cm
  • (ii)
    2821.36 sq.cm
  • (iii)
    2591.36 sq.cm
  • (iv)
    2701.36 sq.cm
  • (v)
    2861.36 sq.cm
Question 7
7.
If the three sides of a triangular prism are 18.00 cm, 19.00 cm, 12.00 cm and height is 18.00 cm, its T.S.A is
  • (i)
    841.26 sq.cm
  • (ii)
    1271.26 sq.cm
  • (iii)
    1031.26 sq.cm
  • (iv)
    1121.26 sq.cm
  • (v)
    1091.26 sq.cm
Question 8
8.
A metallic sphere of radius 13.00 cm is melted to recast into the shape of a cylinder of radius 17.00 cm . Find the height of the cylinder.
  • (i)
    5.14 cm
  • (ii)
    15.14 cm
  • (iii)
    10.14 cm
  • (iv)
    7.14 cm
  • (v)
    13.14 cm
Question 9
9.
If the breadth, height and L.S.A of a cuboid are 17.00 cm, 14.00 cm and 1008.00 sq.cm respectively, its volume is
  • (i)
    4762.00 cu.cm
  • (ii)
    4672.00 cu.cm
  • (iii)
    4522.00 cu.cm
  • (iv)
    4302.00 cu.cm
  • (v)
    4342.00 cu.cm
Question 10
10.
If the length, breadth and height of a cuboid are 16.00 cm, 10.00 cm and 11.00 cm respectively, its T.S.A is
  • (i)
    910.00 sq.cm
  • (ii)
    892.00 sq.cm
  • (iii)
    865.00 sq.cm
  • (iv)
    908.00 sq.cm
  • (v)
    886.00 sq.cm
Question 11
11.
If the radius of a cylinder is 9.00 cm and T.S.A is 1527.43 sq.cm, its volume is
  • (i)
    4502.29 cu.cm
  • (ii)
    4312.29 cu.cm
  • (iii)
    4832.29 cu.cm
  • (iv)
    4602.29 cu.cm
  • (v)
    4582.29 cu.cm
Question 12
12.
If the breadth, height and volume of a cuboid are 18.00 cm, 16.00 cm and 5472.00 cu.cm respectively, its L.S.A is
  • (i)
    1334.00 sq.cm
  • (ii)
    924.00 sq.cm
  • (iii)
    1184.00 sq.cm
  • (iv)
    1114.00 sq.cm
  • (v)
    1264.00 sq.cm
Question 13
13.
If the three sides of a triangular prism are 6.00 cm, 7.00 cm, 7.00 cm and height is 51.00 cm, its volume is
  • (i)
    981.47 cu.cm
  • (ii)
    951.47 cu.cm
  • (iii)
    940.47 cu.cm
  • (iv)
    989.47 cu.cm
  • (v)
    967.47 cu.cm
Question 14
14.
If the L.S.A of a triangular prism is 2601.00 sq.cm, base area is 116.05 sq.cm and height is 51.00 cm, its volume is
  • (i)
    5948.55 cu.cm
  • (ii)
    5738.55 cu.cm
  • (iii)
    5918.55 cu.cm
  • (iv)
    6148.55 cu.cm
  • (v)
    5698.55 cu.cm
Question 15
15.
A solid consists of a cylinder with one hemispherical end with length 21.00 cm and diameter 11.00 cm. Find the total surface area of the solid
  • (i)
    1151.21 sq.cm
  • (ii)
    1011.21 sq.cm
  • (iii)
    751.21 sq.cm
  • (iv)
    941.21 sq.cm
  • (v)
    1161.21 sq.cm
Question 16
16.
Two cubes each of volume 8000.00 cu.cm are joined end to end . Find the surface area of the resulting cuboid.
  • (i)
    4000.00 sq.cm
  • (ii)
    4180.00 sq.cm
  • (iii)
    3730.00 sq.cm
  • (iv)
    4160.00 sq.cm
  • (v)
    3860.00 sq.cm
Question 17
17.
If the breadth, height and T.S.A of a cuboid are 18.00 cm, 14.00 cm and 1784.00 sq.cm respectively, its volume is
  • (i)
    5220.00 cu.cm
  • (ii)
    5000.00 cu.cm
  • (iii)
    5190.00 cu.cm
  • (iv)
    5040.00 cu.cm
  • (v)
    4920.00 cu.cm
Question 18
18.
If the L.S.A of a triangular prism is 1584.00 sq.cm, T.S.A is 1777.50 sq.cm and height is 33.00 cm, its base area is
  • (i)
    96.75 sq.cm
  • (ii)
    99.75 sq.cm
  • (iii)
    101.75 sq.cm
  • (iv)
    91.75 sq.cm
  • (v)
    93.75 sq.cm
Question 19
19.
If the base radius of a cone is 8.00 cm and slant height is 12.04 cm, its L.S.A. is
  • (i)
    299.72 sq.cm
  • (ii)
    302.72 sq.cm
  • (iii)
    320.72 sq.cm
  • (iv)
    316.72 sq.cm
  • (v)
    280.72 sq.cm
Question 20
20.
A wooden toy rocket is in the shape of a cone mounted on a cylinder. The height of the conical part is 14.00 cm , while the height of the cylindrical part is 28.00 cm. The base of the conical portion has a diameter of 12.00 cm while the base diameter of the cylindrical portion is 8.00 cm. If the conical portion is painted with white and cylindrical portion with black, find the area of the rocket painted with each of these colors
  • (i)
      • white
      • area =
      • 351.05 sq.cm
      • ,
      • black
      • area =
      • 755.29 sq.cm
  • (ii)
      • white
      • area =
      • 350.05 sq.cm
      • ,
      • black
      • area =
      • 754.29 sq.cm
  • (iii)
      • white
      • area =
      • 352.05 sq.cm
      • ,
      • black
      • area =
      • 756.29 sq.cm
  • (iv)
      • white
      • area =
      • 349.05 sq.cm
      • ,
      • black
      • area =
      • 753.29 sq.cm
  • (v)
      • white
      • area =
      • 348.05 sq.cm
      • ,
      • black
      • area =
      • 752.29 sq.cm
Question 21
21.
A copper sphere having a radius of 6.00 cm is melted and drawn into a cylindrical wire of radius 0.20 cm. Calculate the length of the wire.
  • (i)
    75.00 m
  • (ii)
    72.00 m
  • (iii)
    77.00 m
  • (iv)
    67.00 m
  • (v)
    69.00 m
Question 22
22.
If the volume of a cube is 2197.00 cu.cm, its T.S.A is
  • (i)
    944.00 sq.cm
  • (ii)
    894.00 sq.cm
  • (iii)
    1014.00 sq.cm
  • (iv)
    1264.00 sq.cm
  • (v)
    1054.00 sq.cm
Question 23
23.
A hemispherical depression is cut out from one face of a cylinder. The height of the cylinder is 35.00 cm and its radius is 8.50 cm. Find the total surface area of the solid
  • (i)
    2831.21 sq.cm
  • (ii)
    2621.21 sq.cm
  • (iii)
    2501.21 sq.cm
  • (iv)
    2421.21 sq.cm
  • (v)
    2551.21 sq.cm
Question 24
24.
If the radius of a cylinder is 17.00 cm and height is 5.00 cm, its T.S.A is
  • (i)
    2200.86 sq.cm
  • (ii)
    2480.86 sq.cm
  • (iii)
    2180.86 sq.cm
  • (iv)
    2610.86 sq.cm
  • (v)
    2350.86 sq.cm
Question 25
25.
If the length, height and L.S.A of a cuboid are 18.00 cm, 16.00 cm and 864.00 sq.cm respectively, its T.S.A is
  • (i)
    1338.00 sq.cm
  • (ii)
    1348.00 sq.cm
  • (iii)
    1058.00 sq.cm
  • (iv)
    948.00 sq.cm
  • (v)
    1188.00 sq.cm
    Assignment Key

  •  1) (i)
  •  2) (iv)
  •  3) (ii)
  •  4) (i)
  •  5) (ii)
  •  6) (ii)
  •  7) (v)
  •  8) (iii)
  •  9) (iii)
  •  10) (ii)
  •  11) (v)
  •  12) (iii)
  •  13) (v)
  •  14) (iii)
  •  15) (ii)
  •  16) (i)
  •  17) (iv)
  •  18) (i)
  •  19) (ii)
  •  20) (ii)
  •  21) (ii)
  •  22) (iii)
  •  23) (v)
  •  24) (v)
  •  25) (v)