Subjects geometry

Rectangular Prism 58Ae28

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1. **Problem:** Find the volume of a rectangular prism with base area $B=112$ and height $h=23$. 2. **Formula:** Volume of a prism is given by $$V = Bh$$ where $B$ is the area of the base and $h$ is the height. 3. **Calculation:** Substitute the values: $$V = 112 \times 23$$ $$V = 2576$$ 4. **Answer:** The volume of the rectangular prism is **2576** cubic units. 5. **Problem:** Find the surface area of the same rectangular prism with perimeter $P=180$, height $h=23$, and base area $B=112$. 6. **Formula:** Surface area of a prism is $$S = Ph + 2B$$ where $P$ is the perimeter of the base. 7. **Calculation:** Substitute the values: $$S = 180 \times 23 + 2(112)$$ $$S = 4140 + 224$$ $$S = 4364$$ 8. **Answer:** The surface area of the rectangular prism is **4364** square units.