1. If a cube-shaped tin container has each edge measuring 30 cm, what is the maximum amount of water it can hold in liters?

2. From a completely filled cube-shaped water tank, 64 equal-sized buckets of water are taken out, leaving the tank one-third full. If the length of one edge of the tank is 1.2 meters, calculate and write how many liters of water each bucket can hold.

3. If a hemispherical basin with a diameter of 150 cm can hold 120 times more water than a cone with a height of 15 cm, then what is the diameter of that cone?

(a) 27 cm (b) 24 cm (c) 25 cm (d) 26 cm

4. From a cube-shaped water tank, 64 buckets of equal size are removed, leaving the tank one-third full. If the side length of the tank is 1.2 meters, then how much water does each bucket hold in liters? (Assume: 1 cubic decimeter = 1 liter)

5. From a cuboid measuring 16 cm × 4 cm × 2 cm, several cubes with edge length 2 cm are cut out. What is the ratio of the total surface area of the original cuboid to the total surface area of all the cubes?

(a) 11:48 (b) 12:50 (c) 13:36 (d) 14:28

6. A hollow cube is made using copper sheets that are 1.5 cm thick, with an external edge length of 20 cm. After melting the cube, how many solid cuboids measuring 7 cm × 3 cm × 1 cm can be made from it?

(a) 200 (b) 220 (c) 100 (d) 147

7. The English translation is: "A cube-shaped tank completely filled with water becomes \(\frac{1}{3}\) full after removing 64 equal-sized buckets of water. If the length of each side of the tank is 1.2 meters, how much water does each bucket hold (in liters)?"

8. Under the condition that no interest will be charged if the money is repaid within two years, three friends borrowed ₹6000, ₹8000, and ₹5000 respectively from a cooperative bank to jointly purchase four cycle rickshaws. After two years, after deducting all expenses, their total income amounted to ₹30,400. They divided this income in proportion to their capital contributions and then repaid their individual bank loans. Now, calculate how much money each person will have left in hand and what the ratio of the remaining amounts will be.

9. From a completely water-filled cubical tank, 75 buckets of equal size are taken out, after which \(\frac{2}{5}\) of the tank remains filled with water. If each edge of the tank is 1.5 meters long, how much water does each bucket hold in liters?

10. What is the ratio of the volumes of a solid right circular cone and a solid sphere that can be carved with minimal wood wastage from two solid cubes, each having edge length \(a\)?