EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Surface Areas and Volumes
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
If the radius of a cylinder is 6.00 cm and volume is 1923.43 cu.cm, its L.S.A. is
(i)
668.14 sq.cm
(ii)
633.14 sq.cm
(iii)
625.14 sq.cm
(iv)
641.14 sq.cm
(v)
659.14 sq.cm
Question
2
2.
If the T.S.A of a cube is 1734.00 sq.cm, its side is
(i)
20.00 cm
(ii)
14.00 cm
(iii)
12.00 cm
(iv)
22.00 cm
(v)
17.00 cm
Question
3
3.
If the base radius of a cone is 8.00 cm and volume is 469.33 cu.cm, its vertical height is
(i)
7.00 cm
(ii)
5.00 cm
(iii)
8.00 cm
(iv)
9.00 cm
(v)
6.00 cm
Question
4
4.
If the length, breadth and L.S.A of a cuboid are 16.00 cm, 12.00 cm and 896.00 sq.cm respectively, its volume is
(i)
2902.00 cu.cm
(ii)
3072.00 cu.cm
(iii)
3032.00 cu.cm
(iv)
3122.00 cu.cm
(v)
3252.00 cu.cm
Question
5
5.
If the side of a cube is 14.00 cm, its L.S.A is
(i)
770.00 sq.cm
(ii)
799.00 sq.cm
(iii)
784.00 sq.cm
(iv)
800.00 sq.cm
(v)
781.00 sq.cm
Question
6
6.
A copper sphere having a radius of 4.00 cm is melted and drawn into a cylindrical wire of radius 0.50 cm. Calculate the length of the wire.
(i)
1.41 m
(ii)
3.41 m
(iii)
2.41 m
(iv)
4.41 m
(v)
5.41 m
Question
7
7.
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 8.50 cm and height is 23.50 cm. The radius of the hemisphere is 5.50 cm and the height of the cone is 13.00 cm. Find the volume of water left in the cylinder.
(i)
4575.61 cu.cm
(ii)
4695.61 cu.cm
(iii)
4305.61 cu.cm
(iv)
4445.61 cu.cm
(v)
4615.61 cu.cm
Question
8
8.
If the height of a cylinder is 10.00 cm and L.S.A is 565.71 sq.cm, its T.S.A is
(i)
1244.86 sq.cm
(ii)
1054.86 sq.cm
(iii)
1074.86 sq.cm
(iv)
824.86 sq.cm
(v)
1314.86 sq.cm
Question
9
9.
If the height of a cylinder is 15.00 cm and L.S.A is 1131.43 sq.cm, its radius is
(i)
7.00 cm
(ii)
12.00 cm
(iii)
9.00 cm
(iv)
15.00 cm
(v)
17.00 cm
Question
10
10.
If the slant height of a cone is 12.04 cm and vertical height is 8.00 cm, its L.S.A. is
(i)
342.56 sq.cm
(ii)
337.56 sq.cm
(iii)
358.56 sq.cm
(iv)
323.56 sq.cm
(v)
340.56 sq.cm
Question
11
11.
If two solids, a cube and a hemisphere are combined such that the base of the block is a cube with edge 25.00 cm and the hemisphere fixed on the top has a diameter of 20.00 cm, find the total surface area of the block.
(i)
3944.29 sq.cm
(ii)
3904.29 sq.cm
(iii)
4194.29 sq.cm
(iv)
4064.29 sq.cm
(v)
4334.29 sq.cm
Question
12
12.
If the length, height and volume of a cuboid are 20.00 cm, 10.00 cm and 2000.00 cu.cm respectively, its L.S.A is
(i)
578.00 sq.cm
(ii)
584.00 sq.cm
(iii)
600.00 sq.cm
(iv)
602.00 sq.cm
(v)
627.00 sq.cm
Question
13
13.
If the slant height of a cone is 11.66 cm and L.S.A is 219.87 sq.cm, its base radius is
(i)
6.00 cm
(ii)
4.00 cm
(iii)
5.00 cm
(iv)
7.00 cm
(v)
8.00 cm
Question
14
14.
If the length, breadth and height of a cuboid are 16.00 cm, 7.00 cm and 8.00 cm respectively, its T.S.A is
(i)
604.00 sq.cm
(ii)
592.00 sq.cm
(iii)
579.00 sq.cm
(iv)
620.00 sq.cm
(v)
587.00 sq.cm
Question
15
15.
If the length, height and L.S.A of a cuboid are 20.00 cm, 5.00 cm and 310.00 sq.cm respectively, its T.S.A is
(i)
748.00 sq.cm
(ii)
764.00 sq.cm
(iii)
750.00 sq.cm
(iv)
732.00 sq.cm
(v)
777.00 sq.cm
Question
16
16.
If the T.S.A of a sphere is 616.00 sq.cm, its volume is
(i)
1607.33 cu.cm
(ii)
1487.33 cu.cm
(iii)
1437.33 cu.cm
(iv)
1317.33 cu.cm
(v)
1407.33 cu.cm
Question
17
17.
The radii of the ends of a frustum of a right circular cone 15.00 cm high are 7.00 cm and 6.00 cm. Its volume is
(i)
1765.71 cu.cm
(ii)
2025.71 cu.cm
(iii)
2155.71 cu.cm
(iv)
1995.71 cu.cm
(v)
1915.71 cu.cm
Question
18
18.
If the slant height of a cone is 7.81 cm and T.S.A is 201.30 sq.cm, its volume is
(i)
162.14 cu.cm
(ii)
183.14 cu.cm
(iii)
157.14 cu.cm
(iv)
145.14 cu.cm
Question
19
19.
If the L.S.A of a cube is 1600.00 sq.cm, its volume is
(i)
8080.00 cu.cm
(ii)
8000.00 cu.cm
(iii)
7820.00 cu.cm
(iv)
7760.00 cu.cm
(v)
8230.00 cu.cm
Question
20
20.
If the base radius of a cone is 7.00 cm and volume is 256.67 cu.cm, its L.S.A. is
(i)
207.20 sq.cm
(ii)
172.20 sq.cm
(iii)
194.20 sq.cm
(iv)
189.20 sq.cm
Question
21
21.
If the height of a cylinder is 12.00 cm and base area is 908.29 sq.cm, its L.S.A. is
(i)
1432.29 sq.cm
(ii)
1402.29 sq.cm
(iii)
1042.29 sq.cm
(iv)
1102.29 sq.cm
(v)
1282.29 sq.cm
Question
22
22.
If the volume of a cube is 1331.00 cu.cm, its L.S.A is
(i)
510.00 sq.cm
(ii)
481.00 sq.cm
(iii)
492.00 sq.cm
(iv)
456.00 sq.cm
(v)
484.00 sq.cm
Question
23
23.
If the vertical height of a cone is 5.00 cm and volume is 523.81 cu.cm, its slant height is
(i)
11.18 cm
(ii)
14.18 cm
(iii)
8.18 cm
(iv)
6.18 cm
(v)
16.18 cm
Question
24
24.
If the volume of a sphere is 20587.81 cu.cm, its radius is
(i)
14.00 cm
(ii)
17.00 cm
(iii)
20.00 cm
(iv)
12.00 cm
(v)
22.00 cm
Question
25
25.
If the base radius of a cone is 10.00 cm and volume is 838.10 cu.cm, its T.S.A is
(i)
689.89 sq.cm
(ii)
730.89 sq.cm
(iii)
714.89 sq.cm
(iv)
742.89 sq.cm
(v)
716.89 sq.cm
Assignment Key
1) (iv)
2) (v)
3) (i)
4) (ii)
5) (iii)
6) (ii)
7) (i)
8) (iii)
9) (ii)
10) (v)
11) (iv)
12) (iii)
13) (i)
14) (ii)
15) (iii)
16) (iii)
17) (iv)
18) (iii)
19) (ii)
20) (iv)
21) (v)
22) (v)
23) (i)
24) (ii)
25) (v)
