71). If the areas of three adjacent faces of a cuboidical box are 120 sq cm, 72 sq cm and 60 sq cm, respectively. then find the volume of the box.
| A). \( \Large 820 cm^{3} \) |
| B). \( \Large 720 cm^{3} \) |
| C). \( \Large 750 cm^{3} \) |
| D). \( \Large 950 cm^{3} \) |
|
72). The capacity of' a cuboid tank of water is 50000 L. Find the breadth of the tank. ii its length and depth are 2.5 m and 10 m. respectively.
| A). 2 m |
| B). 4 m |
| C). 9 m |
| D). 6 m |
|
73). The paint in certain container is sufficient to paint an area equal to 9.375 sq m. How many bricks of dimensions 22.5 cm x 10 cm x 7.5 cm can be painted out of this container?
| A). 100 |
| B). 200 |
| C). 50 |
| D). 175 |
|
74). If the side of a cube is increased by 12%, by how much per cent does its volume increase?
| A). 40.4928% |
| B). 50.524% |
| C). 60.3292% |
| D). 30.4928% |
|
75). Find the volume of a right circular cylinder of length 80 cm and diameter of the base 14 cm.
| A). \( \Large 1400 cm^{3} \) |
| B). \( \Large 1553 cm^{3} \) |
| C). \( \Large 12320 cm^{3} \) |
| D). \( \Large 13320 cm^{3} \) |
|
76). The curved surface area of a cylindrical pillar is 264 sq m and its volume is \( \Large 924 m^{3} \). The ratio of its diameter to its height is
| A). 7 : 3 |
| B). 3 : 7 |
| C). 7 : 6 |
| D). 6 : 7 |
|
77). If height of cylinder is decreased by 8%. while its radius remains unchanged, by what per cent does the volume decrease?
| A). 4% |
| B). 6% |
| C). 8% |
| D). 10% |
|
78). If the radius of a cylinder is decreased by 8%, while its height is increased by 4% what will be the effect on volume?
| A). 11.9744% (decrease) |
| B). 11.9744% (increase) |
| C). 12.4678% (decrease) |
| D). 12.4678% (increase) |
|
79). A drainage tile is a cylindrical shell 21 cm. long. The inside and outside diameters are 4.5 cm and 5.1 cm respectively. What is the volume of clay required for the tile?
| A). \( \Large 6.96 \pi cm^{3} \) |
| B). \( \Large 6.76 \pi cm^{3} \) |
| C). \( \Large 5.76 \pi cm^{3} \) |
| D). \( \Large 3.24 \pi cm^{3} \) |
|
80). The diameter of a roller is 84 cm and its length 120 cm. It takes 500 complete revolutions to move once over to level a playground. . Find the area of the playground (in sq m).
| A). 1632 |
| B). 1817 |
| C). 1532 |
| D). 1584 |
|
