Subjects geometry

Prism Volume 73E35B

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1. **State the problem:** Calculate the volume of an oblique rectangular prism whose base is a parallelogram with base length 9 units and height 8 units, and the prism extends back 12 units. 2. **Formula used:** The volume $V$ of a prism is given by: $$V = \text{Base Area} \times \text{Length}$$ 3. **Calculate the base area:** The base is a parallelogram with base $b=9$ units and height $h=8$ units. $$\text{Base Area} = b \times h = 9 \times 8 = 72$$ 4. **Calculate the volume:** The length (depth) of the prism is $12$ units. $$V = 72 \times 12 = 864$$ 5. **Interpretation:** The volume of the oblique rectangular prism is $864$ cubic units.