1. A low-lying plot of land measuring 48 meters in length and 31.5 meters in width is to be raised by 6.5 decimeters. To do this, soil will be excavated from a nearby plot measuring 27 meters in length and 18.2 meters in width. Calculate and write how deep the excavation must be.

2. A low-lying plot of land measuring 48 meters in length and 31.5 meters in width is to be raised by 6.5 decimeters. To achieve this, a nearby pit measuring 27 meters in length and 18.2 meters in width is dug. What will be the depth of the pit?

3. To raise a plot of land measuring 25.5 meters in length and 20.2 meters in width by filling it with soil up to a height of 1.5 meters, a pit is dug in the adjacent plot with dimensions 15.3 meters in length and 10.1 meters in width. What will be the depth of the pit?

(a) 5 meters (b) 10 meters (c) 15 meters (d) 20 meters

4. A trough measuring 21 decimeters in length, 11 decimeters in width, and 6 decimeters in depth is half full of water. If 100 iron spheres, each with a diameter of 21 centimeters, are completely submerged in the trough, determine how much the water level will rise in decimeters.

5. A rectangular pond is 20 meters long and 18.5 meters wide, and contains water to a depth of 3.2 meters. A pump that can irrigate 160 kiloliters of water per hour is used to remove all the water from the pond. Calculate and write how long it will take to pump out all the water. If this water is then used to irrigate a field with embankments measuring 59.2 meters in length and 40 meters in width, calculate and write the depth of water that would cover the field. [Note: 1 cubic meter = 1 kiloliter]

6. A rectangular pit has a length of 40 meters, a width of 12 meters, and a depth of 16 meters. Can a wooden plank measuring 5 meters in length, 4 meters in width, and 2 meters in thickness be placed inside the pit?

(a) 190 (b) 192 (c) 184 (d) 180