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 T.S.A of a cuboid are 6.00 cm, 17.00 cm and 664.00 sq.cm respectively, its volume is
  • (i)
    1020.00 cu.cm
  • (ii)
    940.00 cu.cm
  • (iii)
    1150.00 cu.cm
  • (iv)
    880.00 cu.cm
Question 2
2.
If the T.S.A of a cube is 216.00 sq.cm, its L.S.A is
  • (i)
    148.00 sq.cm
  • (ii)
    126.00 sq.cm
  • (iii)
    141.00 sq.cm
  • (iv)
    144.00 sq.cm
  • (v)
    161.00 sq.cm
Question 3
3.
If the L.S.A of a triangular prism is 1932.00 sq.cm, base area is 80.25 sq.cm and height is 42.00 cm, its volume is
  • (i)
    3370.50 cu.cm
  • (ii)
    3210.50 cu.cm
  • (iii)
    3640.50 cu.cm
  • (iv)
    3390.50 cu.cm
  • (v)
    3200.50 cu.cm
Question 4
4.
From a solid cylinder of height 19.00 cm and base radius 6.50 cm, a conical cavity of height 11.00 cm and base radius 6.50 cm is drilled out. Find the volume of the resulting solid
  • (i)
    2216.05 cu.cm
  • (ii)
    1776.05 cu.cm
  • (iii)
    2036.05 cu.cm
  • (iv)
    2276.05 cu.cm
  • (v)
    1966.05 cu.cm
Question 5
5.
If the length, breadth and volume of a cuboid are 13.00 cm, 7.00 cm and 1729.00 cu.cm respectively, its L.S.A is
  • (i)
    774.00 sq.cm
  • (ii)
    778.00 sq.cm
  • (iii)
    755.00 sq.cm
  • (iv)
    760.00 sq.cm
  • (v)
    748.00 sq.cm
Question 6
6.
If the height of a cylinder is 6.00 cm and L.S.A is 641.14 sq.cm, its volume is
  • (i)
    5399.71 cu.cm
  • (ii)
    5609.71 cu.cm
  • (iii)
    5449.71 cu.cm
  • (iv)
    5569.71 cu.cm
  • (v)
    5319.71 cu.cm
Question 7
7.
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 6.00 cm and 25.00 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 15.00 cm
  • (i)
    1513.87 sq.cm
  • (ii)
    1293.87 sq.cm
  • (iii)
    1603.87 sq.cm
  • (iv)
    1223.87 sq.cm
  • (v)
    1473.87 sq.cm
Question 8
8.
If the slant height of a cone is 10.00 cm and vertical height is 6.00 cm, its T.S.A is
  • (i)
    452.57 sq.cm
  • (ii)
    439.57 sq.cm
  • (iii)
    466.57 sq.cm
  • (iv)
    464.57 sq.cm
  • (v)
    446.57 sq.cm
Question 9
9.
If the side of a cube is 13.00 cm, its T.S.A is
  • (i)
    1094.00 sq.cm
  • (ii)
    734.00 sq.cm
  • (iii)
    1014.00 sq.cm
  • (iv)
    954.00 sq.cm
  • (v)
    1284.00 sq.cm
Question 10
10.
If the three sides of a triangular prism are 10.00 cm, 14.00 cm, 11.00 cm and height is 39.00 cm, its T.S.A is
  • (i)
    1474.28 sq.cm
  • (ii)
    1594.28 sq.cm
  • (iii)
    1744.28 sq.cm
  • (iv)
    1404.28 sq.cm
  • (v)
    1324.28 sq.cm
Question 11
11.
If the base perimeter of a triangular prism is 44.00 cm, base area is 84.43 sq.cm and height is 21.00 cm, its volume is
  • (i)
    1593.03 cu.cm
  • (ii)
    1903.03 cu.cm
  • (iii)
    1523.03 cu.cm
  • (iv)
    1893.03 cu.cm
  • (v)
    1773.03 cu.cm
Question 12
12.
If the three sides of a triangular prism are 7.00 cm, 9.00 cm, 7.00 cm and T.S.A is 1152.26 sq.cm, its height is
  • (i)
    48.00 cm
  • (ii)
    51.00 cm
  • (iii)
    53.00 cm
  • (iv)
    43.00 cm
  • (v)
    45.00 cm
Question 13
13.
If the volume of a cube is 4913.00 cu.cm, its L.S.A is
  • (i)
    996.00 sq.cm
  • (ii)
    1296.00 sq.cm
  • (iii)
    1186.00 sq.cm
  • (iv)
    1156.00 sq.cm
  • (v)
    1036.00 sq.cm
Question 14
14.
If the side of a cube is 6.00 cm, its volume is
  • (i)
    200.00 cu.cm
  • (ii)
    218.00 cu.cm
  • (iii)
    199.00 cu.cm
  • (iv)
    242.00 cu.cm
  • (v)
    216.00 cu.cm
Question 15
15.
If the T.S.A of a cube is 1536.00 sq.cm, its volume is
  • (i)
    4016.00 cu.cm
  • (ii)
    4276.00 cu.cm
  • (iii)
    3826.00 cu.cm
  • (iv)
    4096.00 cu.cm
  • (v)
    4356.00 cu.cm
Question 16
16.
If the three sides of a triangular prism are 18.00 cm, 13.00 cm, 18.00 cm and height is 33.00 cm, its volume is
  • (i)
    3770.63 cu.cm
  • (ii)
    3830.63 cu.cm
  • (iii)
    3460.63 cu.cm
  • (iv)
    3600.63 cu.cm
  • (v)
    3580.63 cu.cm
Question 17
17.
From a solid cylinder of height 15.00 cm and base radius 7.50 cm, a conical cavity of height 6.00 cm and base radius 7.50 cm is drilled out. Find the total surface area of the resulting solid
  • (i)
    1080.21 sq.cm
  • (ii)
    940.21 sq.cm
  • (iii)
    1250.21 sq.cm
  • (iv)
    1110.21 sq.cm
  • (v)
    1290.21 sq.cm
Question 18
18.
If the base radius of a cone is 8.00 cm and vertical height is 9.00 cm, its L.S.A. is
  • (i)
    274.72 sq.cm
  • (ii)
    286.72 sq.cm
  • (iii)
    307.72 sq.cm
  • (iv)
    302.72 sq.cm
  • (v)
    324.72 sq.cm
Question 19
19.
A cylinder with radius 8.00 cm and height 9.00 cm is melted to recast into a cone of height 17.28 cm. Find the radius of the cone.
  • (i)
    10.00 cm
  • (ii)
    13.00 cm
  • (iii)
    7.00 cm
  • (iv)
    5.00 cm
  • (v)
    15.00 cm
Question 20
20.
If the breadth, height and L.S.A of a cuboid are 9.00 cm, 18.00 cm and 864.00 sq.cm respectively, its T.S.A is
  • (i)
    1134.00 sq.cm
  • (ii)
    1004.00 sq.cm
  • (iii)
    1014.00 sq.cm
  • (iv)
    1294.00 sq.cm
  • (v)
    1284.00 sq.cm
Question 21
21.
If the length, height and volume of a cuboid are 18.00 cm, 8.00 cm and 2304.00 cu.cm respectively, its L.S.A is
  • (i)
    551.00 sq.cm
  • (ii)
    538.00 sq.cm
  • (iii)
    544.00 sq.cm
  • (iv)
    532.00 sq.cm
  • (v)
    566.00 sq.cm
Question 22
22.
If the L.S.A of a sphere is 4073.14 sq.cm, its T.S.A is
  • (i)
    4253.14 sq.cm
  • (ii)
    3813.14 sq.cm
  • (iii)
    4043.14 sq.cm
  • (iv)
    4073.14 sq.cm
  • (v)
    4313.14 sq.cm
Question 23
23.
If the radius of a cylinder is 8.00 cm and L.S.A is 502.86 sq.cm, its volume is
  • (i)
    2151.43 cu.cm
  • (ii)
    1961.43 cu.cm
  • (iii)
    1771.43 cu.cm
  • (iv)
    2191.43 cu.cm
  • (v)
    2011.43 cu.cm
Question 24
24.
If the slant height of a cone is 12.21 cm and vertical height is 10.00 cm, its L.S.A. is
  • (i)
    255.62 sq.cm
  • (ii)
    280.62 sq.cm
  • (iii)
    268.62 sq.cm
  • (iv)
    242.62 sq.cm
Question 25
25.
If the side of a cube is 16.00 cm, its L.S.A is
  • (i)
    1024.00 sq.cm
  • (ii)
    1194.00 sq.cm
  • (iii)
    864.00 sq.cm
  • (iv)
    844.00 sq.cm
    Assignment Key

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