1.Water is supplied to a tank measuring 200 m by 150 m through a rectangular pipe with dimensions 1.5 m by 1.25 m. If water flows through the pipe at a speed of 20 km/h, how long will it take for the water level in the tank to rise by 2 meters?
2.What is the total surface area of a brick measuring 10 cm by 4 cm by 3 cm?
3.What is equal to the product of the areas of three faces that meet at a corner of a rectangular prism?
4.A cuboid has the sum of its length, width, and height equal to 19 cm, and its diagonal measures 5√5 cm. What is the total surface area of the cuboid?
5.A hall measures 15 meters in length and 12 meters in width. If the combined area of the floor and ceiling equals the total area of the four walls, what is the volume of the hall?
6.A rectangular piece of land measures 240 meters by 180 meters. A 10-meter-wide drain is excavated all around the outside of the land. The soil removed from the drain is evenly spread over the land, raising its surface level by 25 centimeters. What is the depth of the drain?
7.A rectangular pit with dimensions 5 m by 4.5 m by 2.1 m is excavated in the middle of a field that measures 13.5 m by 12.5 m. If the soil removed from the pit is evenly spread over the remaining area of the field, by how much will the ground level rise?
8.A rectangular agricultural plot measures 20 meters in length and 14 meters in width. A pit measuring 6 meters long, 3 meters wide, and 2.5 meters deep is excavated at one corner of the plot. The soil removed from the pit is evenly spread over the remaining area of the field. By how much has the level of the field increased?
9.A rectangular tank measuring 7 meters in length and 4 meters in width needs to have its water level increased by 4.5 cm in 6 hours and 18 minutes. Through pipes that are 5 cm wide and 4 cm deep, at what velocity should the water flow to achieve this rise?
10.A ditch measures 48 meters in length, 16.5 meters in width, and 4 meters in depth. What fraction of this ditch can be filled with the soil excavated from a cylindrical tunnel that has a diameter of 4 meters and a length of 56 meters?
11.A swimming pool measures 24 meters in length and 15 meters in width. When several men enter the pool, the water level rises by 1 cm. If each man displaces an average volume of 0.1 cubic meters of water, how many men are in the pool?
12.A rectangular water tank holds 216 liters of water. The depth is one-third of the length, and the breadth is half of one-third of the difference between the length and the depth. What is the length of the tank?
13.A rectangular tank has a base measuring 225 meters by 162 meters. Through an opening of 60 cm by 45 cm, water flows in. At what velocity must the water enter so that the water level rises by 20 cm within 5 hours?
14.A rectangular reservoir measures 80 meters by 60 meters at its base and contains water to a depth of 6.5 meters. If water flows out through a pipe with a square cross-section of 20 cm on each side at a speed of 15 km/h, how long will it take to empty the reservoir?
15.An open-top rectangular water tank has a volume of 24 cubic meters. Its length and width measure 4 meters and 3 meters respectively. Neglecting the thickness of the tank walls, what is the total cost to paint both the interior and exterior surfaces if the painting charges are Rs. 10 per square meter?
16.A wooden box with a lid has internal dimensions of 115 cm by 75 cm by 35 cm. If the wood used has a thickness of 2.5 cm, what is the volume of the wood material forming the box?
17.A rectangular tank has a base area of 6500 cm² and holds 2.6 cubic meters of water. What is the depth of the water inside the tank?
18.A wheel completes 113 rotations to cover a distance of 2 kilometers and 26 decameters. What is the diameter of the wheel?
19.A circular wheel has a radius of 17.5 meters. How many complete turns will it make when it covers a distance of 11 kilometers?
20.A wheel completes 1000 full rotations while traveling a distance of 88 kilometers. What is the diameter of the wheel?