Quantitative Reasoning Mensuration Online Test 2

1. The area of four walls of a room is 120 m². The length is twice the breadth. If the height of the room is 4 m, find area of the floor.m

2. A metallic sheet is of rectangular shape with dimensions 48 × 36 cm. From each one of its corners, a square of 8 cm is cut off. An open box is made of the remaining sheet. Find volume of the box.

3. A rectangular tank is 225 m by 162 m at the base. With what speed must water flow into it through an aperture 60 cm by 45 cm that the level may be raised 20 cm in 5 hours?

4. A room 5 m × 8 m is to be carpeted leaving a margin of 10 cm form each wall. If cost of the carpet is ζ 18 per m², then cost of carpeting the room will be

5. How many meters of cloth 5 m wide will be required to make a conical tent, the radius of whose base is 7 m and whose height is 25 m? (Take π=22/7)

6. A circular grassy plot of land, 44 m in diameter, has a path 3.5 m wide running around it on the outside. The cost of graveling the path at ζ 4 per square meter is?

7. A wire is looped in the form of a circle of radius 28 cm. It is re-bent into a square form. Determine length of the side of the square.

8. A rectangular lawn 80 meters by 60 meters has two roads each 10 meters wide running in the middle of it, one parallel to the length and the other parallel to the breadth. Find the cost of graveling them at ζ 30 per square meter.

9. A well has to be dug out that is to be 22.5 m deep and of diameter 7 m. Find the cost of plastering the inner curved surface at ζ 3 per sq. meter

10. The trunk of a tree is a right cylinder 1.5 m in radius and 10 m high. The volume of the timber which remains when the trunk is trimmed just enough to reduce it to a rectangular parallelepiped on a square base is?

11. A pond 100 m in diameter is surrounded by a circular grass walk 2m wide. How much sq.m of grass is there on the walk?

12. A garden is 24 m long and 14 m wide. There is a path 1 m wide outside the garden along its sides. If the path is to be constructed with square marble tiles 20 cm × 20 cm, the number of tiles required to cover the path is?

13. A circular grassy plot of land, 42 m in diameter, has a path 3.5 m wide running round it on the outside.  Find the cost graveling the path at ζ  4 per square meter.

14. A hemispherical bowl is made of steel 0.5 cm thick. The inside radius of the bowl is 4 cm. The value of steel used in making the bowl is?

15. A rectangular tank measuring 5 m × 4.5 m × 2.1 m is dug at the center of the field measuring 13.5 m × 2.5 m. The earth dig out is spread evenly over the remaining portion of the field. How much is the level of the field raised?