Subjects geometry

Volume Prism D1Ecbe

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1. **State the problem:** Find the volume of the given 3D prism-like figure with dimensions $a=16$, $b=9$, $c=21$, and other edges labeled 11 m and 24 m. 2. **Identify the shape and formula:** The figure appears to be a prism with a parallelogram or trapezoidal base. The volume $V$ of a prism is given by: $$V = \text{Base Area} \times \text{Height}$$ 3. **Calculate the base area:** Assuming the base is a rectangle with sides $a$ and $b$, the base area is: $$\text{Base Area} = a \times b = 16 \times 9 = 144$$ 4. **Determine the height:** The height of the prism is given as $c = 21$ m. 5. **Calculate the volume:** $$V = 144 \times 21 = 3024$$ 6. **Final answer:** The volume of the figure is: $$\boxed{3024}$$ cubic meters.