Subjects geometry

Pool Volume C7938E

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1. **Stating the problem:** We have a rectangular cuboid pool with dimensions 3 m by 14 m by 9 m. We want to find the volume of the pool and then determine how many seals can live in the enclosure if each seal requires at least 30 cubic meters of space. 2. **Formula for volume of a rectangular cuboid:** $$\text{Volume} = \text{length} \times \text{width} \times \text{height}$$ 3. **Calculate the volume:** $$\text{Volume} = 3 \times 14 \times 9 = 378 \text{ cubic meters}$$ 4. **Determine the number of seals:** Each seal requires 30 cubic meters, so the number of seals is: $$\text{Number of seals} = \left\lfloor \frac{378}{30} \right\rfloor = 12$$ 5. **Explanation:** We multiply the three dimensions to find the total volume of the pool. Then, dividing the total volume by the space required per seal gives the maximum number of seals that can live comfortably in the enclosure. We use the floor function because we cannot have a fraction of a seal. **Final answer:** The pool can accommodate up to 12 seals.