EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Surface areas and Volumes
Grade : SSC Grade IX
License : Non Commercial Use
Question 1
1.
If the length, breadth and height of a cuboid are 20.00 cm, 19.00 cm and 8.00 cm respectively, its T.S.A is
  • (i)
    1424.00 sq.cm
  • (ii)
    1544.00 sq.cm
  • (iii)
    1384.00 sq.cm
  • (iv)
    1204.00 sq.cm
  • (v)
    1354.00 sq.cm
Question 2
2.
If the L.S.A of a triangular prism is 1188.00 sq.cm, base area is 22.25 sq.cm and height is 54.00 cm, its T.S.A is
  • (i)
    1382.50 sq.cm
  • (ii)
    1102.50 sq.cm
  • (iii)
    1272.50 sq.cm
  • (iv)
    962.50 sq.cm
  • (v)
    1232.50 sq.cm
Question 3
3.
If the three sides of a triangular prism are 15.00 cm, 14.00 cm, 11.00 cm and T.S.A is 866.96 sq.cm, its base area is
  • (i)
    76.48 sq.cm
  • (ii)
    70.48 sq.cm
  • (iii)
    68.48 sq.cm
  • (iv)
    73.48 sq.cm
  • (v)
    78.48 sq.cm
Question 4
4.
If the three sides of a triangular prism are 19.00 cm, 7.00 cm, 18.00 cm and volume is 2454.27 cu.cm, its T.S.A is
  • (i)
    2011.86 sq.cm
  • (ii)
    1781.86 sq.cm
  • (iii)
    1841.86 sq.cm
  • (iv)
    1961.86 sq.cm
  • (v)
    1621.86 sq.cm
Question 5
5.
If the volume of a sphere is 3054.86 cu.cm, its L.S.A is
  • (i)
    1178.29 sq.cm
  • (ii)
    1018.29 sq.cm
  • (iii)
    1248.29 sq.cm
  • (iv)
    738.29 sq.cm
  • (v)
    958.29 sq.cm
Question 6
6.
If the slant height of a cone is 11.31 cm and T.S.A is 485.51 sq.cm, its volume is
  • (i)
    522.38 cu.cm
  • (ii)
    513.38 cu.cm
  • (iii)
    538.38 cu.cm
  • (iv)
    536.38 cu.cm
  • (v)
    550.38 cu.cm
Question 7
7.
If the volume of a triangular prism is 2108.88 cu.cm, base perimeter is 43.00 cm and height is 24.00 cm, its L.S.A is
  • (i)
    1032.00 sq.cm
  • (ii)
    962.00 sq.cm
  • (iii)
    1182.00 sq.cm
  • (iv)
    1092.00 sq.cm
  • (v)
    772.00 sq.cm
Question 8
8.
If the radius of a cylinder is 14.00 cm and height is 20.00 cm, its volume is
  • (i)
    14020.00 cu.cm
  • (ii)
    10920.00 cu.cm
  • (iii)
    12320.00 cu.cm
Question 9
9.
If the base radius of a cone is 6.00 cm and slant height is 10.00 cm, its L.S.A. is
  • (i)
    176.57 sq.cm
  • (ii)
    211.57 sq.cm
  • (iii)
    188.57 sq.cm
  • (iv)
    206.57 sq.cm
  • (v)
    164.57 sq.cm
Question 10
10.
If the vertical height of a cone is 5.00 cm and volume is 130.95 cu.cm, its T.S.A is
  • (i)
    187.67 sq.cm
  • (ii)
    194.67 sq.cm
  • (iii)
    211.67 sq.cm
  • (iv)
    165.67 sq.cm
  • (v)
    189.67 sq.cm
Question 11
11.
If the length, breadth and L.S.A of a cuboid are 16.00 cm, 6.00 cm and 484.00 sq.cm respectively, its T.S.A is
  • (i)
    660.00 sq.cm
  • (ii)
    678.00 sq.cm
  • (iii)
    659.00 sq.cm
  • (iv)
    694.00 sq.cm
  • (v)
    676.00 sq.cm
Question 12
12.
If the three sides of a triangular prism are 18.00 cm, 13.00 cm, 15.00 cm and T.S.A is 1433.84 sq.cm, its base perimeter is
  • (i)
    49.00 cm
  • (ii)
    43.00 cm
  • (iii)
    41.00 cm
  • (iv)
    46.00 cm
  • (v)
    51.00 cm
Question 13
13.
If the height of a cylinder is 9.00 cm and base area is 908.29 sq.cm, its volume is
  • (i)
    8394.57 cu.cm
  • (ii)
    8024.57 cu.cm
  • (iii)
    8174.57 cu.cm
  • (iv)
    7914.57 cu.cm
  • (v)
    8354.57 cu.cm
Question 14
14.
If the three sides of a triangular prism are 14.00 cm, 16.00 cm, 11.00 cm and T.S.A is 1626.94 sq.cm, its L.S.A is
  • (i)
    1476.00 sq.cm
  • (ii)
    1606.00 sq.cm
  • (iii)
    1696.00 sq.cm
  • (iv)
    1306.00 sq.cm
  • (v)
    1326.00 sq.cm
Question 15
15.
A solid consists of a cylinder with two hemispherical ends with length 32.00 cm and diameter 16.00 cm. Find the total surface area of the solid
  • (i)
    2543.71 sq.cm
  • (ii)
    2413.71 sq.cm
  • (iii)
    2563.71 sq.cm
  • (iv)
    2133.71 sq.cm
  • (v)
    2293.71 sq.cm
Question 16
16.
From a solid cylinder of height 12.00 cm and base radius 5.00 cm, a conical cavity of height 6.00 cm and base radius 5.00 cm is drilled out. Find the total surface area of the resulting solid
  • (i)
    556.44 sq.cm
  • (ii)
    578.44 sq.cm
  • (iii)
    595.44 sq.cm
  • (iv)
    576.44 sq.cm
  • (v)
    581.44 sq.cm
Question 17
17.
From a circular cylinder of diameter 20.00 cm and height 11.00 cm, a conical cavity of the same base radius and of the same height is hollowed out. Find the total surface area of the remaining solid.
  • (i)
    1233.06 sq.cm
  • (ii)
    1473.06 sq.cm
  • (iii)
    1403.06 sq.cm
  • (iv)
    1693.06 sq.cm
  • (v)
    1653.06 sq.cm
Question 18
18.
If the base radius of a cone is 9.00 cm and slant height is 11.40 cm, its volume is
  • (i)
    568.00 cu.cm
  • (ii)
    577.00 cu.cm
  • (iii)
    594.00 cu.cm
  • (iv)
    612.00 cu.cm
  • (v)
    607.00 cu.cm
Question 19
19.
If the L.S.A of a triangular prism is 1215.00 sq.cm, base area is 31.42 sq.cm and height is 45.00 cm, its base perimeter is
  • (i)
    32.00 cm
  • (ii)
    22.00 cm
  • (iii)
    30.00 cm
  • (iv)
    27.00 cm
  • (v)
    24.00 cm
Question 20
20.
The height of a right circular cone is 19.00 cm and the radius of its base is 8.00 cm. It is melted and recast into a right circular cone with base radius 6.40 cm. Find the new height
  • (i)
    24.69 cm
  • (ii)
    29.69 cm
  • (iii)
    32.69 cm
  • (iv)
    26.69 cm
  • (v)
    34.69 cm
Question 21
21.
If the three sides of a triangular prism are 19.00 cm, 12.00 cm, 17.00 cm and volume is 4518.00 cu.cm, its height is
  • (i)
    42.00 cm
  • (ii)
    45.00 cm
  • (iii)
    40.00 cm
  • (iv)
    48.00 cm
  • (v)
    50.00 cm
Question 22
22.
If the breadth, height and L.S.A of a cuboid are 12.00 cm, 19.00 cm and 1064.00 sq.cm respectively, its volume is
  • (i)
    3698.00 cu.cm
  • (ii)
    3378.00 cu.cm
  • (iii)
    3648.00 cu.cm
  • (iv)
    3578.00 cu.cm
  • (v)
    3908.00 cu.cm
Question 23
23.
Two cubes each of volume 2197.00 cu.cm are joined end to end . Find the surface area of the resulting cuboid.
  • (i)
    1690.00 sq.cm
  • (ii)
    1570.00 sq.cm
  • (iii)
    1760.00 sq.cm
  • (iv)
    1960.00 sq.cm
  • (v)
    1410.00 sq.cm
Question 24
24.
If the L.S.A of a triangular prism is 1458.00 sq.cm, base area is 134.70 sq.cm and base perimeter is 54.00 cm, its height is
  • (i)
    32.00 cm
  • (ii)
    22.00 cm
  • (iii)
    30.00 cm
  • (iv)
    24.00 cm
  • (v)
    27.00 cm
Question 25
25.
If the L.S.A of a triangular prism is 1155.00 sq.cm, base area is 54.88 sq.cm and height is 33.00 cm, its volume is
  • (i)
    1751.04 cu.cm
  • (ii)
    1671.04 cu.cm
  • (iii)
    1941.04 cu.cm
  • (iv)
    1811.04 cu.cm
  • (v)
    1961.04 cu.cm
    Assignment Key

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