1. **State the problem:** Calculate the volume of the L-shaped prism with given dimensions. 2. **Understand the shape:** The prism is L-shaped, so we can split it into two rectangular prisms and find their volumes separately, then add them. 3. **Identify dimensions:** - Larger prism: length $= 1.3 \times 10^{7}$ cm, height $= 9.8 \times 10^{6}$ cm, depth $= 9.7 \times 10^{6}$ cm - Smaller prism (protrusion): length $= 1.8 \times 10^{3}$ cm, height $= 5.1 \times 10^{6}$ cm, depth $= 9.7 \times 10^{6}$ cm (same depth as larger prism) 4. **Volume formula:** Volume of a rectangular prism is $V = \text{length} \times \text{height} \times \text{depth}$. 5. **Calculate volume of larger prism:** $$V_1 = (1.3 \times 10^{7}) \times (9.8 \times 10^{6}) \times (9.7 \times 10^{6})$$ Multiply coefficients and add exponents: $$1.3 \times 9.8 \times 9.7 = 123.658$$ $$10^{7} \times 10^{6} \times 10^{6} = 10^{19}$$ So, $$V_1 = 123.658 \times 10^{19} = 1.23658 \times 10^{21}$$ (after adjusting to standard form) 6. **Calculate volume of smaller prism:** $$V_2 = (1.8 \times 10^{3}) \times (5.1 \times 10^{6}) \times (9.7 \times 10^{6})$$ Multiply coefficients: $$1.8 \times 5.1 \times 9.7 = 89.034$$ Add exponents: $$10^{3} \times 10^{6} \times 10^{6} = 10^{15}$$ So, $$V_2 = 89.034 \times 10^{15} = 8.9034 \times 10^{16}$$ 7. **Add volumes:** $$V = V_1 + V_2 = 1.23658 \times 10^{21} + 8.9034 \times 10^{16}$$ Since $10^{21}$ is much larger than $10^{16}$, the smaller volume is negligible. 8. **Final answer rounded to 2 significant figures:** $$V \approx 1.2 \times 10^{21} \text{ cm}^3$$