EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Mensuration
Grade : SSC Grade X
License : Non Commercial Use
Question 1
1.
If the side of a cube is 12.00 cm, its T.S.A is
  • (i)
    864.00 sq.cm
  • (ii)
    851.00 sq.cm
  • (iii)
    866.00 sq.cm
  • (iv)
    890.00 sq.cm
  • (v)
    850.00 sq.cm
Question 2
2.
If the L.S.A of a triangular prism is 2184.00 sq.cm, base area is 148.92 sq.cm and base perimeter is 56.00 cm, its T.S.A is
  • (i)
    2631.84 sq.cm
  • (ii)
    2551.84 sq.cm
  • (iii)
    2301.84 sq.cm
  • (iv)
    2451.84 sq.cm
  • (v)
    2481.84 sq.cm
Question 3
3.
A conical vessel of radius 3.00 cm and height 4.00 cm is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just immersed. Find the fraction of the water that overflows
  • (i)
    5

    8
  • (ii)
    1

    8
  • (iii)
    3

    10
  • (iv)
    3

    8
  • (v)
    1

    2
Question 4
4.
If the length, breadth and volume of a cuboid are 19.00 cm, 18.00 cm and 2052.00 cu.cm respectively, its T.S.A is
  • (i)
    1108.00 sq.cm
  • (ii)
    1258.00 sq.cm
  • (iii)
    1268.00 sq.cm
  • (iv)
    878.00 sq.cm
  • (v)
    1128.00 sq.cm
Question 5
5.
A copper rod of diameter 1.20 cm and length 20.00 cm is drawn into a wire of length 583.20 m of uniform thickness. Find the thickness of the wire.
  • (i)
    2

    45
    cm
  • (ii)
    0
    cm
  • (iii)
    1

    30
    cm
  • (iv)
    1

    90
    cm
  • (v)
    1

    45
    cm
Question 6
6.
If the volume of a sphere is 33523.81 cu.cm, its L.S.A is
  • (i)
    5028.57 sq.cm
  • (ii)
    4908.57 sq.cm
  • (iii)
    4868.57 sq.cm
  • (iv)
    5158.57 sq.cm
  • (v)
    5178.57 sq.cm
Question 7
7.
If the three sides of a triangular prism are 17.00 cm, 18.00 cm, 18.00 cm and L.S.A is 1272.00 sq.cm, its base area is
  • (i)
    147.87 sq.cm
  • (ii)
    134.87 sq.cm
  • (iii)
    120.87 sq.cm
  • (iv)
    160.87 sq.cm
  • (v)
    116.87 sq.cm
Question 8
8.
If the L.S.A of a cube is 1600.00 sq.cm, its T.S.A is
  • (i)
    2450.00 sq.cm
  • (ii)
    2530.00 sq.cm
  • (iii)
    2400.00 sq.cm
  • (iv)
    2160.00 sq.cm
  • (v)
    2270.00 sq.cm
Question 9
9.
If the L.S.A of a triangular prism is 1596.00 sq.cm, base area is 52.31 sq.cm and base perimeter is 38.00 cm, its height is
  • (i)
    37.00 cm
  • (ii)
    45.00 cm
  • (iii)
    39.00 cm
  • (iv)
    42.00 cm
  • (v)
    47.00 cm
Question 10
10.
A tent is in the form of a cylinder surmounted by a cone., The height of the tent above the ground is 25 m and the height of the cylindrical part is 14.00 m. If the diameter of the base is 20.00 m, find the quantity of canvas required to make the tent. Allow 14% extra for folds and for stitching.
  • (i)
    1655.97 sq.m
  • (ii)
    1405.97 sq.m
  • (iii)
    1265.97 sq.m
  • (iv)
    1535.97 sq.m
Question 11
11.
If the length, height and L.S.A of a cuboid are 15.00 cm, 9.00 cm and 504.00 sq.cm respectively, its breadth is
  • (i)
    18.00 cm
  • (ii)
    16.00 cm
  • (iii)
    8.00 cm
  • (iv)
    13.00 cm
  • (v)
    10.00 cm
Question 12
12.
From a solid cylinder of height 14.00 cm and base radius 5.50 cm, a conical cavity of height 7.00 cm and base radius 5.50 cm is drilled out. Find the total surface area of the resulting solid
  • (i)
    744.91 sq.cm
  • (ii)
    759.91 sq.cm
  • (iii)
    732.91 sq.cm
  • (iv)
    719.91 sq.cm
  • (v)
    706.91 sq.cm
Question 13
13.
If the L.S.A of a sphere is 2124.57 sq.cm, its T.S.A is
  • (i)
    1874.57 sq.cm
  • (ii)
    2104.57 sq.cm
  • (iii)
    2284.57 sq.cm
  • (iv)
    2124.57 sq.cm
  • (v)
    2254.57 sq.cm
Question 14
14.
If the length, height and L.S.A of a cuboid are 18.00 cm, 20.00 cm and 1400.00 sq.cm respectively, its T.S.A is
  • (i)
    2142.00 sq.cm
  • (ii)
    2012.00 sq.cm
  • (iii)
    1752.00 sq.cm
  • (iv)
    2192.00 sq.cm
  • (v)
    1862.00 sq.cm
Question 15
15.
A solid consisting of a right circular cone, standing on a hemisphere is placed upright, in a right circular cylinder full of water and touches the bottom. The radius of the cylinder is 9.50 cm and height is 19.50 cm. The radius of the hemisphere is 5.50 cm and the height of the cone is 14.00 cm. Find the volume of water left in the cylinder.
  • (i)
    4578.77 cu.cm
  • (ii)
    4738.77 cu.cm
  • (iii)
    4508.77 cu.cm
  • (iv)
    4918.77 cu.cm
  • (v)
    4798.77 cu.cm
Question 16
16.
If the three sides of a triangular prism are 14.00 cm, 20.00 cm, 18.00 cm and L.S.A is 936.00 sq.cm, its T.S.A is
  • (i)
    1320.76 sq.cm
  • (ii)
    1180.76 sq.cm
  • (iii)
    1050.76 sq.cm
  • (iv)
    960.76 sq.cm
  • (v)
    1460.76 sq.cm
Question 17
17.
If the radius of a cylinder is 10.00 cm and height is 10.00 cm, its L.S.A. is
  • (i)
    632.57 sq.cm
  • (ii)
    628.57 sq.cm
  • (iii)
    606.57 sq.cm
  • (iv)
    625.57 sq.cm
  • (v)
    653.57 sq.cm
Question 18
18.
If the slant height of a cone is 7.81 cm and vertical height is 6.00 cm, its T.S.A is
  • (i)
    187.30 sq.cm
  • (ii)
    226.30 sq.cm
  • (iii)
    184.30 sq.cm
  • (iv)
    201.30 sq.cm
  • (v)
    209.30 sq.cm
Question 19
19.
Water in a canal, 13 m wide and 3 m deep is flowing with a speed of 7 kmph . How much area will it irrigate in 35 min, if 5 cm of standing water is needed ?
  • (i)
    3015000.00 sq.m
  • (ii)
    3325000.00 sq.m
  • (iii)
    3265000.00 sq.m
  • (iv)
    3185000.00 sq.m
  • (v)
    2905000.00 sq.m
Question 20
20.
Two cubes each of volume 1000.00 cu.cm are joined end to end . Find the surface area of the resulting cuboid.
  • (i)
    1170.00 sq.cm
  • (ii)
    1000.00 sq.cm
  • (iii)
    1220.00 sq.cm
  • (iv)
    820.00 sq.cm
  • (v)
    750.00 sq.cm
Question 21
21.
A cone of maximum volume is carved out of a cube of edge 12.00 cm. Find the volume of the remaining material after the cone is carved out
  • (i)
    1015.43 cu.cm
  • (ii)
    1415.43 cu.cm
  • (iii)
    1445.43 cu.cm
  • (iv)
    1125.43 cu.cm
  • (v)
    1275.43 cu.cm
Question 22
22.
If the base radius of a cone is 7.00 cm and vertical height is 7.00 cm, its volume is
  • (i)
    381.33 cu.cm
  • (ii)
    354.33 cu.cm
  • (iii)
    343.33 cu.cm
  • (iv)
    359.33 cu.cm
  • (v)
    377.33 cu.cm
Question 23
23.
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 8.00 cm and 28.00 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)
    2417.71 sq.cm
  • (ii)
    1977.71 sq.cm
  • (iii)
    2217.71 sq.cm
  • (iv)
    2407.71 sq.cm
  • (v)
    2237.71 sq.cm
Question 24
24.
If the L.S.A of a sphere is 2124.57 sq.cm, its volume is
  • (i)
    9206.48 cu.cm
  • (ii)
    9066.48 cu.cm
  • (iii)
    9276.48 cu.cm
  • (iv)
    9366.48 cu.cm
  • (v)
    9086.48 cu.cm
Question 25
25.
A conical vessel, whose internal radius is 13.50 cm and height 27.00 cm, is full of liquid . Its contents are emptied into a cylindrical vessel with internal radius 4.00 cm. Find the height to which the liquid rises in the cylindrical vessel.
  • (i)
    87.52 cm
  • (ii)
    100.52 cm
  • (iii)
    119.52 cm
  • (iv)
    128.52 cm
  • (v)
    102.52 cm
    Assignment Key

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