Subjects geometry

Water Depth F26Cef

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We have a cuboid container with dimensions length = 8 cm, width = 5 cm, and height = 10 cm. It contains 120 ml of water. Since 1 ml = 1 cm³, the volume of water is 120 cm³. We need to find the depth (height) of the water in the container. 2. **Formula used:** The volume $V$ of a cuboid is given by: $$V = \text{length} \times \text{width} \times \text{height}$$ Here, the height corresponds to the depth of the water, which we denote as $h$. 3. **Apply the formula:** $$120 = 8 \times 5 \times h$$ 4. **Simplify:** $$120 = 40h$$ 5. **Solve for $h$:** $$h = \frac{120}{40} = 3$$ 6. **Interpretation:** The depth of the water in the container is 3 cm. **Final answer:** The water depth is $3$ cm.