EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Surface areas and Volumes
Grade : SSC Grade IX
License : Non Commercial Use
Question 1
1.
If the three sides of a triangular prism are 11.00 cm, 8.00 cm, 13.00 cm and L.S.A is 768.00 sq.cm, its volume is
  • (i)
    981.68 cu.cm
  • (ii)
    1111.68 cu.cm
  • (iii)
    1201.68 cu.cm
  • (iv)
    921.68 cu.cm
  • (v)
    1051.68 cu.cm
Question 2
2.
If the radius of a cylinder is 10.00 cm and T.S.A is 1320.00 sq.cm, its L.S.A. is
  • (i)
    691.43 sq.cm
  • (ii)
    684.43 sq.cm
  • (iii)
    703.43 sq.cm
  • (iv)
    673.43 sq.cm
  • (v)
    707.43 sq.cm
Question 3
3.
Metallic spheres of radii 13.00 cm, 4.00 cm are melted to form a single solid sphere. Find the radius of the resulting sphere.
  • (i)
    2261
    cm
  • (ii)
    3


    2261
    cm
  • (iii)
    5


    2261
    cm
  • (iv)
    3


    2263
    cm
  • (v)
    3


    2258
    cm
Question 4
4.
If the radius of a cylinder is 16.00 cm and height is 12.00 cm, its T.S.A is
  • (i)
    2636.00 sq.cm
  • (ii)
    2816.00 sq.cm
  • (iii)
    2966.00 sq.cm
  • (iv)
    2646.00 sq.cm
  • (v)
    3076.00 sq.cm
Question 5
5.
If the breadth, height and volume of a cuboid are 16.00 cm, 6.00 cm and 1632.00 cu.cm respectively, its L.S.A is
  • (i)
    396.00 sq.cm
  • (ii)
    411.00 sq.cm
  • (iii)
    368.00 sq.cm
  • (iv)
    403.00 sq.cm
  • (v)
    393.00 sq.cm
Question 6
6.
If the height of a cylinder is 7.00 cm and base area is 804.57 sq.cm, its T.S.A is
  • (i)
    2483.14 sq.cm
  • (ii)
    2253.14 sq.cm
  • (iii)
    2063.14 sq.cm
  • (iv)
    2453.14 sq.cm
  • (v)
    2313.14 sq.cm
Question 7
7.
If the three sides of a triangular prism are 11.00 cm, 12.00 cm, 7.00 cm and T.S.A is 1515.90 sq.cm, its volume is
  • (i)
    1821.60 cu.cm
  • (ii)
    2041.60 cu.cm
  • (iii)
    1771.60 cu.cm
  • (iv)
    1581.60 cu.cm
  • (v)
    1861.60 cu.cm
Question 8
8.
If the height of a cylinder is 7.00 cm and L.S.A is 572.00 sq.cm, its volume is
  • (i)
    3748.00 cu.cm
  • (ii)
    3838.00 cu.cm
  • (iii)
    3668.00 cu.cm
  • (iv)
    3458.00 cu.cm
  • (v)
    3718.00 cu.cm
Question 9
9.
If the height of a cylinder is 17.00 cm and T.S.A is 1697.14 sq.cm, its L.S.A. is
  • (i)
    1068.57 sq.cm
  • (ii)
    1218.57 sq.cm
  • (iii)
    1208.57 sq.cm
  • (iv)
    998.57 sq.cm
  • (v)
    888.57 sq.cm
Question 10
10.
If the breadth, height and L.S.A of a cuboid are 19.00 cm, 19.00 cm and 1482.00 sq.cm respectively, its T.S.A is
  • (i)
    2192.00 sq.cm
  • (ii)
    2242.00 sq.cm
  • (iii)
    1962.00 sq.cm
  • (iv)
    2402.00 sq.cm
Question 11
11.
From a solid cylinder of height 10.00 cm and base radius 6.00 cm, a conical cavity of height 6.00 cm and base radius 6.00 cm is drilled out. Find the total surface area of the resulting solid
  • (i)
    667.38 sq.cm
  • (ii)
    650.38 sq.cm
  • (iii)
    664.38 sq.cm
  • (iv)
    622.38 sq.cm
  • (v)
    635.38 sq.cm
Question 12
12.
If the three sides of a triangular prism are 9.00 cm, 15.00 cm, 15.00 cm and height is 18.00 cm, its base perimeter is
  • (i)
    39.00 cm
  • (ii)
    36.00 cm
  • (iii)
    42.00 cm
  • (iv)
    44.00 cm
  • (v)
    34.00 cm
Question 13
13.
If the volume of a triangular prism is 782.25 cu.cm, base perimeter is 34.00 cm and base area is 52.15 sq.cm, its T.S.A is
  • (i)
    627.30 sq.cm
  • (ii)
    614.30 sq.cm
  • (iii)
    596.30 sq.cm
  • (iv)
    619.30 sq.cm
  • (v)
    600.30 sq.cm
Question 14
14.
If the length, breadth and volume of a cuboid are 20.00 cm, 5.00 cm and 800.00 cu.cm respectively, its L.S.A is
  • (i)
    385.00 sq.cm
  • (ii)
    422.00 sq.cm
  • (iii)
    414.00 sq.cm
  • (iv)
    400.00 sq.cm
  • (v)
    388.00 sq.cm
Question 15
15.
A solid consists of a cylinder with two hemispherical ends with length 29.00 cm and diameter 16.00 cm. Find the total surface area of the solid
  • (i)
    2262.86 sq.cm
  • (ii)
    2402.86 sq.cm
  • (iii)
    2282.86 sq.cm
  • (iv)
    2112.86 sq.cm
  • (v)
    2042.86 sq.cm
Question 16
16.
If the base radius of a cone is 8.00 cm and volume is 603.43 cu.cm, its T.S.A is
  • (i)
    480.86 sq.cm
  • (ii)
    489.86 sq.cm
  • (iii)
    507.86 sq.cm
  • (iv)
    525.86 sq.cm
  • (v)
    503.86 sq.cm
Question 17
17.
If the L.S.A of a triangular prism is 777.00 sq.cm, base area is 63.71 sq.cm and base perimeter is 37.00 cm, its height is
  • (i)
    18.00 cm
  • (ii)
    26.00 cm
  • (iii)
    16.00 cm
  • (iv)
    21.00 cm
  • (v)
    24.00 cm
Question 18
18.
If the height of a cylinder is 7.00 cm and base area is 1134.57 sq.cm, its volume is
  • (i)
    7792.00 cu.cm
  • (ii)
    8172.00 cu.cm
  • (iii)
    8022.00 cu.cm
  • (iv)
    7822.00 cu.cm
  • (v)
    7942.00 cu.cm
Question 19
19.
If the base perimeter of a triangular prism is 53.00 cm, base area is 133.19 sq.cm and height is 42.00 cm, its L.S.A is
  • (i)
    2296.00 sq.cm
  • (ii)
    2226.00 sq.cm
  • (iii)
    2486.00 sq.cm
  • (iv)
    2076.00 sq.cm
  • (v)
    1956.00 sq.cm
Question 20
20.
If the L.S.A of a triangular prism is 648.00 sq.cm, base area is 31.95 sq.cm and height is 24.00 cm, its base perimeter is
  • (i)
    30.00 cm
  • (ii)
    27.00 cm
  • (iii)
    22.00 cm
  • (iv)
    32.00 cm
  • (v)
    24.00 cm
Question 21
21.
If the length, height and L.S.A of a cuboid are 16.00 cm, 10.00 cm and 600.00 sq.cm respectively, its T.S.A is
  • (i)
    878.00 sq.cm
  • (ii)
    1298.00 sq.cm
  • (iii)
    1208.00 sq.cm
  • (iv)
    1048.00 sq.cm
  • (v)
    1018.00 sq.cm
Question 22
22.
If the length, height and T.S.A of a cuboid are 17.00 cm, 14.00 cm and 1468.00 sq.cm respectively, its volume is
  • (i)
    4028.00 cu.cm
  • (ii)
    3968.00 cu.cm
  • (iii)
    3778.00 cu.cm
  • (iv)
    3808.00 cu.cm
  • (v)
    3528.00 cu.cm
Question 23
23.
If the radius of a sphere is 5.00 cm, its L.S.A is
  • (i)
    341.29 sq.cm
  • (ii)
    302.29 sq.cm
  • (iii)
    298.29 sq.cm
  • (iv)
    314.29 sq.cm
  • (v)
    332.29 sq.cm
Question 24
24.
If the L.S.A of a sphere is 2464.00 sq.cm, its T.S.A is
  • (i)
    2464.00 sq.cm
  • (ii)
    2224.00 sq.cm
  • (iii)
    2594.00 sq.cm
  • (iv)
    2314.00 sq.cm
  • (v)
    2724.00 sq.cm
Question 25
25.
A well of diameter 18.00 m is dug to a depth of 15.00 m and the soil from digging is evenly spread out to form a platform of base dimensions 24.00 m✕30.00 m . Find the height of the platform
  • (i)
    5.30 m
  • (ii)
    6.30 m
  • (iii)
    3.30 m
  • (iv)
    7.30 m
  • (v)
    4.30 m
    Assignment Key

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