1. **Find the volume of a prism**
Given formula: $$V = Bh$$ where $B$ is the area of the base and $h$ is the height.
Calculate:
$$V = 112 \times 23 = 2576$$
2. **Find the surface area of a prism**
Given formula: $$S = Ph + 2B$$ where $P$ is the perimeter of the base, $h$ is the height, and $B$ is the area of the base.
Calculate:
$$S = 180 \times 23 + 2(112) = 4140 + 224 = 4364$$
3. **Find the volume of a pyramid**
Given formula: $$V = \frac{1}{3} bh$$ where $b$ is the base area and $h$ is the height.
Calculate:
$$V = \frac{1}{3} (72 \times 7.6) = \frac{1}{3} (547.2) = 182.4$$
4. **Find the surface area of a pyramid**
Given formula: $$S = \frac{1}{2} pl + B$$ where $p$ is the perimeter of the base, $l$ is the slant height, and $B$ is the base area.
Note: The problem states "+72" which likely means $B=72$.
5. **Find the volume of a prism**
Given formula: $$V = Bh$$
Calculate:
$$V = 18 \times 14 = 252$$
6. **Find the surface area of a cylinder**
Given formula: $$S = 2\pi r h + 2\pi r^2$$ but here only lateral surface area is given as $$S = 2\pi r h$$
Calculate:
$$S = 2 \pi \times 7 \times 18 \approx 791.7$$
7. **Given dimensions of a figure:** 9.1 cm, 12 cm, 12 cm (no question stated)
9. **Given dimensions:** 14 in, 9 in (no question stated)
Since problems 7 and 9 lack explicit questions, only problems 1 to 6 are solved.
Final answers:
1. Volume = 2576
2. Surface Area = 4364
3. Volume = 182.4
4. Surface Area = \frac{1}{2} pl + 72 (incomplete data)
5. Volume = 252
6. Surface Area (lateral) = 791.7
Volume Surface Area A34A45
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