Subjects geometry

Water Depth

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Water Depth


1. **Problem statement:** Pour 1.5 liters of water into a cuboid tank with length 25 cm, width 10 cm, and height 16 cm. Find the depth of the water in cm. 2. **Convert volume from liters to cubic centimeters:** Since 1 liter = 1000 cubic centimeters, $$\text{Volume} = 1.5 \times 1000 = 1500 \text{ cm}^3$$ 3. **Volume formula for a cuboid:** Volume = length $\times$ width $\times$ height of water, Let $h$ be the depth of water in cm. $$1500 = 25 \times 10 \times h$$ 4. **Solve for $h$:** $$1500 = 250h$$ $$h = \frac{1500}{250} = 6$$ 5. **Final answer:** The depth of the water is $6$ cm.