Subjects geometry

Rectangular Prism Volume 2Ef38D

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1. **State the problem:** We need to find the volume of a rectangular prism made up of unit cubes. The prism has dimensions 3 cubes wide, 4 cubes tall, and 3 cubes deep, with each cube representing 1 yd³. 2. **Formula for volume of a rectangular prism:** $$\text{Volume} = \text{length} \times \text{width} \times \text{height}$$ 3. **Identify dimensions:** - Length = 3 yd - Width = 3 yd - Height = 4 yd 4. **Calculate the volume:** $$\text{Volume} = 3 \times 3 \times 4$$ 5. **Multiply step-by-step:** $$3 \times 3 = 9$$ $$9 \times 4 = 36$$ 6. **Final answer:** The volume of the rectangular prism is $$36\ \text{yd}^3$$. This means the prism contains 36 unit cubes, each of volume 1 yd³.