1. Find the total surface area (in cm2) of a cuboid having dimensions 6.5 cm, 8 cm and 24 cm.
A) 650 B) 700 C) 750 D) 800
2. If the total surface area of a cube is 3174 cm2, then the volume of the cube is:
A) 11565 B) 12167 C) 13677 D) 14565
3. The length, breadth and height of a cuboid are in the ratio 1 : 2 : 3. The length, breadth and height of the cuboid are increased by 100%, 400% and 500%, respectively. Then compared to the original volume, the increase in the volume of the cuboid will be:
A) 41 times B) 49 times C) 59 times D) 61 times
4. The volume of a cuboid is twice that of a cube. If the dimensions of the cuboid are (32m × 32m × 64m), the total surface area of the cube (in sq.m) is:
A) 6144 B) 7564 C) 7894 D) 6344
5. The sides of two similar triangles are in the ratio 16 : 25. The areas of these triangles are in the ratio:
A) 4 : 5 B) 256 : 625 C) 16 : 25 D) 5 : 4
6. Aconical tent has a radius of 33 m and a vertical height of 56 m. How many full bags of rice can be emptied in it if the space occupied by the rice in each bag is 8 m3?
A) 7986 B) 7896 C) 8976 D) 8896
7. Renu carries water to school in a cylindrical flask with diameter 42 cm and height 21 cm. Determine the amount of water (in cubic cm) that she can carry in the flask.
A) 29016 B) 29106 C) 21906 D) 21096
8. A conical tent with radius 39 units and height 80 units is to be made by canvas. How much canvas is needed to make the tent? (Rounded off to two places of decimals.)
A) 10908.85 units B) 19008.85 units C) 11808.85 units D) 12108.85 units
9. The lateral area of a cylinder is 12672 cm2 and its height is 36 cm. Find the volume. (in cubic cm)
A) 347686 B) 356786 C) 348416 D) 354816
10. If the volume of one brick is 0.0016 m3, then how many bricks will be required to construct a wall of length 12 m, breadth 0.186 m and height 18 m?
A) 25110 B) 24150 C) 21450 D) 25610
11. The length, breadth and height of a room are 12.5 m, 16 m and 20 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of Rs.19.5 per m2.
A) Rs.26130 B) Rs.28160 C) Rs.23410 D) Rs.27160
12. A petrol tank is of length 58 m, breadth 18 m, and depth 12.5 m. How many liters of petrol can be accommodated in the petrol tank when it is completely filled?
A) 14060000 B) 14060 C) 13050 D) 13050000
13. Find the area of an equilateral triangle whose sides are 16 cm each.
A) 60√ 3 B) 64√ 3 C) 66√ 3 D) 62√ 3
14. If the side of a cubical box is 12 cm, then find its total surface area (in sq.cm).
A) 864 B) 664 C) 952 D) 870
15. Three solid metallic spheres of radii 1 cm, 6 cm and 8 cm, respectively, are melted and recast into a single solid sphere, the radius of the new sphere so formed is :
A) 9 B) 11 C) 10 D) 12
key
1-D 2-B 3-C 4-A
5-B 6-A 7-B 8-A
9-D 10-A 11-A 12-D
13-B 14-A 15-A
