EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Mensuration
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
If the length, breadth and L.S.A of a cuboid are 19.00 cm, 15.00 cm and 952.00 sq.cm respectively, its volume is
(i)
3710.00 cu.cm
(ii)
3940.00 cu.cm
(iii)
3990.00 cu.cm
(iv)
4030.00 cu.cm
(v)
4260.00 cu.cm
Question
2
2.
If the L.S.A of a sphere is 2124.57 sq.cm, its T.S.A is
(i)
2124.57 sq.cm
(ii)
2364.57 sq.cm
(iii)
1974.57 sq.cm
(iv)
2284.57 sq.cm
(v)
2094.57 sq.cm
Question
3
3.
If the length, breadth and volume of a cuboid are 16.00 cm, 14.00 cm and 4480.00 cu.cm respectively, its height is
(i)
17.00 cm
(ii)
23.00 cm
(iii)
15.00 cm
(iv)
20.00 cm
(v)
25.00 cm
Question
4
4.
A solid consists of a cylinder with two hemispherical ends with length 38.00 cm and diameter 19.00 cm. Find the total surface area of the solid
(i)
3423.71 sq.cm
(ii)
3403.71 sq.cm
(iii)
3263.71 sq.cm
(iv)
3183.71 sq.cm
(v)
3553.71 sq.cm
Question
5
5.
If the L.S.A of a cube is 784.00 sq.cm, its T.S.A is
(i)
896.00 sq.cm
(ii)
1006.00 sq.cm
(iii)
1176.00 sq.cm
(iv)
1426.00 sq.cm
(v)
1296.00 sq.cm
Question
6
6.
If the T.S.A of a cube is 726.00 sq.cm, its volume is
(i)
1461.00 cu.cm
(ii)
1551.00 cu.cm
(iii)
1331.00 cu.cm
(iv)
1071.00 cu.cm
(v)
1191.00 cu.cm
Question
7
7.
If the length, breadth and T.S.A of a cuboid are 18.00 cm, 14.00 cm and 888.00 sq.cm respectively, its L.S.A is
(i)
384.00 sq.cm
(ii)
396.00 sq.cm
(iii)
358.00 sq.cm
(iv)
397.00 sq.cm
(v)
370.00 sq.cm
Question
8
8.
A copper sphere having a radius of 5.00 cm is melted and drawn into a cylindrical wire of radius 0.60 cm. Calculate the length of the wire.
(i)
3.63 m
(ii)
2.63 m
(iii)
4.63 m
(iv)
5.63 m
(v)
6.63 m
Question
9
9.
If the volume of a sphere is 9206.48 cu.cm, its T.S.A is
(i)
2284.57 sq.cm
(ii)
2194.57 sq.cm
(iii)
1994.57 sq.cm
(iv)
2044.57 sq.cm
(v)
2124.57 sq.cm
Question
10
10.
If the three sides of a triangular prism are 11.00 cm, 13.00 cm, 11.00 cm and height is 57.00 cm, its T.S.A is
(i)
1880.36 sq.cm
(ii)
2110.36 sq.cm
(iii)
2370.36 sq.cm
(iv)
2290.36 sq.cm
(v)
1960.36 sq.cm
Question
11
11.
From a solid cylinder of height 12.00 cm and base radius 7.00 cm, a conical cavity of height 5.00 cm and base radius 7.00 cm is drilled out. Find the total surface area of the resulting solid
(i)
856.20 sq.cm
(ii)
873.20 sq.cm
(iii)
871.20 sq.cm
(iv)
884.20 sq.cm
(v)
847.20 sq.cm
Question
12
12.
If the T.S.A of a sphere is 1018.29 sq.cm, its L.S.A is
(i)
948.29 sq.cm
(ii)
1198.29 sq.cm
(iii)
758.29 sq.cm
(iv)
1268.29 sq.cm
(v)
1018.29 sq.cm
Question
13
13.
If the three sides of a triangular prism are 18.00 cm, 19.00 cm, 15.00 cm and height is 57.00 cm, its L.S.A is
(i)
2804.00 sq.cm
(ii)
2964.00 sq.cm
(iii)
3034.00 sq.cm
(iv)
3094.00 sq.cm
(v)
2784.00 sq.cm
Question
14
14.
If the length, breadth and height of a cuboid are 16.00 cm, 11.00 cm and 15.00 cm respectively, its L.S.A is
(i)
815.00 sq.cm
(ii)
810.00 sq.cm
(iii)
798.00 sq.cm
(iv)
806.00 sq.cm
(v)
827.00 sq.cm
Question
15
15.
The surface area of a solid metallic sphere is 1810.29 sq.cm. It is melted and recasted into solid right circular cones of radius 6.00 cm and height 8.40 cm . Find the number of complete cones that can be made
(i)
19
(ii)
17
(iii)
27
(iv)
22
(v)
25
Question
16
16.
If two solids, a cube and a hemisphere are combined such that the base of the block is a cube with edge 19.00 cm and the hemisphere fixed on the top has a diameter of 16.00 cm, find the total surface area of the block.
(i)
2127.14 sq.cm
(ii)
2367.14 sq.cm
(iii)
2627.14 sq.cm
(iv)
2317.14 sq.cm
(v)
2497.14 sq.cm
Question
17
17.
If the radius of a cylinder is 8.00 cm and height is 20.00 cm, its base area is
(i)
223.14 sq.cm
(ii)
188.14 sq.cm
(iii)
196.14 sq.cm
(iv)
203.14 sq.cm
(v)
201.14 sq.cm
Question
18
18.
If the T.S.A of a sphere is 616.00 sq.cm, its volume is
(i)
1287.33 cu.cm
(ii)
1437.33 cu.cm
(iii)
1657.33 cu.cm
(iv)
1567.33 cu.cm
(v)
1297.33 cu.cm
Question
19
19.
An ice cream container has the shape of a right circular cylinder having inner diameter 36.00 cm and height 46.00 cm . The ice cream is filled into cones of diameter 20.00 cm and height 20.00 cm , having a hemispherical shape on the top. Find the number of such complete cones which can be filled with ice cream
(i)
6
(ii)
16
(iii)
8
(iv)
14
(v)
11
Question
20
20.
If the slant height of a cone is 12.04 cm and vertical height is 8.00 cm, its base area is
(i)
231.57 sq.cm
(ii)
254.57 sq.cm
(iii)
252.57 sq.cm
(iv)
268.57 sq.cm
Question
21
21.
If the base radius of a cone is 9.00 cm and slant height is 12.04 cm, its volume is
(i)
690.86 cu.cm
(ii)
662.86 cu.cm
(iii)
693.86 cu.cm
(iv)
665.86 cu.cm
(v)
678.86 cu.cm
Question
22
22.
If the base radius of a cone is 5.00 cm and vertical height is 7.00 cm, its T.S.A is
(i)
189.71 sq.cm
(ii)
240.71 sq.cm
(iii)
225.71 sq.cm
(iv)
209.71 sq.cm
(v)
213.71 sq.cm
Question
23
23.
If the length, height and L.S.A of a cuboid are 9.00 cm, 19.00 cm and 608.00 sq.cm respectively, its T.S.A is
(i)
730.00 sq.cm
(ii)
734.00 sq.cm
(iii)
717.00 sq.cm
(iv)
749.00 sq.cm
(v)
752.00 sq.cm
Question
24
24.
If the three sides of a triangular prism are 11.00 cm, 14.00 cm, 10.00 cm and L.S.A is 1470.00 sq.cm, its base area is
(i)
49.64 sq.cm
(ii)
54.64 sq.cm
(iii)
57.64 sq.cm
(iv)
51.64 sq.cm
(v)
59.64 sq.cm
Question
25
25.
If the radius of a sphere is 20.00 cm, its volume is
(i)
35323.81 cu.cm
(ii)
33023.81 cu.cm
(iii)
33523.81 cu.cm
(iv)
32123.81 cu.cm
(v)
36223.81 cu.cm
Assignment Key
1) (iii)
2) (i)
3) (iv)
4) (ii)
5) (iii)
6) (iii)
7) (i)
8) (iii)
9) (v)
10) (ii)
11) (iii)
12) (v)
13) (ii)
14) (ii)
15) (iv)
16) (ii)
17) (v)
18) (ii)
19) (v)
20) (ii)
21) (v)
22) (v)
23) (ii)
24) (ii)
25) (iii)