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)