EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Surface areas and Volumes
Grade : SSC Grade IX
License : Non Commercial Use
Question 1
1.
If the breadth, height and volume of a cuboid are 9.00 cm, 11.00 cm and 1980.00 cu.cm respectively, its T.S.A is
  • (i)
    1001.00 sq.cm
  • (ii)
    973.00 sq.cm
  • (iii)
    1016.00 sq.cm
  • (iv)
    992.00 sq.cm
  • (v)
    998.00 sq.cm
Question 2
2.
A hemispherical depression is cut out from one face of a cylinder. The height of the cylinder is 29.00 cm and its radius is 7.00 cm. Find the total surface area of the solid
  • (i)
    1738.00 sq.cm
  • (ii)
    2018.00 sq.cm
  • (iii)
    1598.00 sq.cm
  • (iv)
    1788.00 sq.cm
  • (v)
    1708.00 sq.cm
Question 3
3.
If the side of a cube is 15.00 cm, its L.S.A is
  • (i)
    884.00 sq.cm
  • (ii)
    918.00 sq.cm
  • (iii)
    900.00 sq.cm
  • (iv)
    885.00 sq.cm
  • (v)
    903.00 sq.cm
Question 4
4.
If the three sides of a triangular prism are 19.00 cm, 14.00 cm, 18.00 cm and L.S.A is 2142.00 sq.cm, its height is
  • (i)
    47.00 cm
  • (ii)
    39.00 cm
  • (iii)
    45.00 cm
  • (iv)
    37.00 cm
  • (v)
    42.00 cm
Question 5
5.
A solid metallic cylinder of base radius 6.50 cm and height 19.00 cm is melted to form cones each of height 1.00 cm and radius 1.00 cm . Find the number of complete cones formed
  • (i)
    2228
  • (ii)
    2528
  • (iii)
    2268
  • (iv)
    2408
  • (v)
    2638
Question 6
6.
Two cubes each of volume 1331.00 cu.cm are joined end to end . Find the surface area of the resulting cuboid.
  • (i)
    1210.00 sq.cm
  • (ii)
    1270.00 sq.cm
  • (iii)
    1090.00 sq.cm
  • (iv)
    1380.00 sq.cm
  • (v)
    1040.00 sq.cm
Question 7
7.
If the three sides of a triangular prism are 19.00 cm, 16.00 cm, 16.00 cm and volume is 6971.67 cu.cm, its L.S.A is
  • (i)
    2737.00 sq.cm
  • (ii)
    2647.00 sq.cm
  • (iii)
    3127.00 sq.cm
  • (iv)
    2907.00 sq.cm
  • (v)
    2927.00 sq.cm
Question 8
8.
If the volume of a sphere is 17164.19 cu.cm, its L.S.A is
  • (i)
    3138.29 sq.cm
  • (ii)
    3358.29 sq.cm
  • (iii)
    3218.29 sq.cm
  • (iv)
    3278.29 sq.cm
  • (v)
    2968.29 sq.cm
Question 9
9.
A cylinder with radius 10.00 cm and height 10.00 cm is melted to recast into a cone of height 83.33 cm. Find the radius of the cone.
  • (i)
    7.00 cm
  • (ii)
    4.00 cm
  • (iii)
    5.00 cm
  • (iv)
    6.00 cm
  • (v)
    8.00 cm
Question 10
10.
If the volume of a triangular prism is 2159.55 cu.cm, base perimeter is 39.00 cm and height is 45.00 cm, its L.S.A is
  • (i)
    1755.00 sq.cm
  • (ii)
    1615.00 sq.cm
  • (iii)
    1525.00 sq.cm
  • (iv)
    1975.00 sq.cm
  • (v)
    1915.00 sq.cm
Question 11
11.
If the three sides of a triangular prism are 17.00 cm, 17.00 cm, 5.00 cm and T.S.A is 669.08 sq.cm, its base area is
  • (i)
    37.04 sq.cm
  • (ii)
    47.04 sq.cm
  • (iii)
    45.04 sq.cm
  • (iv)
    42.04 sq.cm
  • (v)
    39.04 sq.cm
Question 12
12.
If the length, breadth and L.S.A of a cuboid are 15.00 cm, 9.00 cm and 240.00 sq.cm respectively, its T.S.A is
  • (i)
    510.00 sq.cm
  • (ii)
    485.00 sq.cm
  • (iii)
    523.00 sq.cm
  • (iv)
    522.00 sq.cm
  • (v)
    497.00 sq.cm
Question 13
13.
If the height of a cylinder is 17.00 cm and base area is 78.57 sq.cm, its volume is
  • (i)
    1335.71 cu.cm
  • (ii)
    1585.71 cu.cm
  • (iii)
    1515.71 cu.cm
  • (iv)
    1115.71 cu.cm
  • (v)
    1275.71 cu.cm
Question 14
14.
If the radius of a cylinder is 16.00 cm and L.S.A is 2011.43 sq.cm, its volume is
  • (i)
    18591.43 cu.cm
  • (ii)
    16091.43 cu.cm
  • (iii)
    14291.43 cu.cm
  • (iv)
    16491.43 cu.cm
Question 15
15.
If the three sides of a triangular prism are 11.00 cm, 18.00 cm, 20.00 cm and L.S.A is 1029.00 sq.cm, its base perimeter is
  • (i)
    46.00 cm
  • (ii)
    54.00 cm
  • (iii)
    52.00 cm
  • (iv)
    49.00 cm
  • (v)
    44.00 cm
Question 16
16.
If the L.S.A of a triangular prism is 1296.00 sq.cm, base area is 26.83 sq.cm and height is 54.00 cm, its volume is
  • (i)
    1228.82 cu.cm
  • (ii)
    1588.82 cu.cm
  • (iii)
    1448.82 cu.cm
  • (iv)
    1398.82 cu.cm
  • (v)
    1578.82 cu.cm
Question 17
17.
If the L.S.A of a sphere is 3633.14 sq.cm, its T.S.A is
  • (i)
    3633.14 sq.cm
  • (ii)
    3503.14 sq.cm
  • (iii)
    3793.14 sq.cm
  • (iv)
    3753.14 sq.cm
  • (v)
    3483.14 sq.cm
Question 18
18.
If the slant height of a cone is 9.43 cm and L.S.A is 148.19 sq.cm, its volume is
  • (i)
    195.52 cu.cm
  • (ii)
    201.52 cu.cm
  • (iii)
    214.52 cu.cm
  • (iv)
    222.52 cu.cm
  • (v)
    209.52 cu.cm
Question 19
19.
If the vertical height of a cone is 8.00 cm and volume is 301.71 cu.cm, its T.S.A is
  • (i)
    319.71 sq.cm
  • (ii)
    287.71 sq.cm
  • (iii)
    288.71 sq.cm
  • (iv)
    317.71 sq.cm
  • (v)
    301.71 sq.cm
Question 20
20.
If the slant height of a cone is 7.07 cm and T.S.A is 189.67 sq.cm, its volume is
  • (i)
    130.95 cu.cm
  • (ii)
    102.95 cu.cm
  • (iii)
    134.95 cu.cm
  • (iv)
    125.95 cu.cm
  • (v)
    154.95 cu.cm
Question 21
21.
If the L.S.A of a triangular prism is 1176.00 sq.cm, T.S.A is 1391.62 sq.cm and height is 24.00 cm, its base perimeter is
  • (i)
    44.00 cm
  • (ii)
    49.00 cm
  • (iii)
    46.00 cm
  • (iv)
    54.00 cm
  • (v)
    52.00 cm
Question 22
22.
If the base radius of a cone is 8.00 cm and vertical height is 10.00 cm, its L.S.A. is
  • (i)
    324.08 sq.cm
  • (ii)
    310.08 sq.cm
  • (iii)
    306.08 sq.cm
  • (iv)
    335.08 sq.cm
  • (v)
    322.08 sq.cm
Question 23
23.
If the slant height of a cone is 10.30 cm and vertical height is 9.00 cm, its L.S.A. is
  • (i)
    149.86 sq.cm
  • (ii)
    183.86 sq.cm
  • (iii)
    176.86 sq.cm
  • (iv)
    144.86 sq.cm
  • (v)
    161.86 sq.cm
Question 24
24.
If the base perimeter of a triangular prism is 24.00 cm, base area is 25.46 sq.cm and height is 48.00 cm, its T.S.A is
  • (i)
    1342.92 sq.cm
  • (ii)
    1202.92 sq.cm
  • (iii)
    1022.92 sq.cm
  • (iv)
    1462.92 sq.cm
Question 25
25.
If the base perimeter of a triangular prism is 43.00 cm, base area is 71.93 sq.cm and height is 24.00 cm, its volume is
  • (i)
    1596.32 cu.cm
  • (ii)
    1906.32 cu.cm
  • (iii)
    1566.32 cu.cm
  • (iv)
    1726.32 cu.cm
  • (v)
    1776.32 cu.cm
    Assignment Key

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