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.
Rectangular Prism 58Ae28
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.