Subjects geometry

Rectangular Prism Volume 8E2D0D

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1. **State the problem:** We need to find the volume of a rectangular prism with dimensions height = 3 yards, length = 5 yards, and width = 1 \frac{1}{5} yards. 2. **Formula:** The volume $V$ of a rectangular prism is given by: $$V = \text{length} \times \text{width} \times \text{height}$$ 3. **Convert mixed number to improper fraction:** $$1 \frac{1}{5} = \frac{6}{5}$$ 4. **Substitute values:** $$V = 5 \times \frac{6}{5} \times 3$$ 5. **Simplify step-by-step:** $$V = \cancel{5} \times \frac{6}{\cancel{5}} \times 3 = 6 \times 3$$ 6. **Calculate final volume:** $$V = 18$$ 7. **Answer:** The volume of the rectangular prism is **18 cubic yards**.
5 yd3 yd1 1/5 yd