Subjects geometry

Parallelogram Prism 66Fe9F

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** Find the volume of a prism with a parallelogram base where the base has a height of 4 units and a base length of 6 units, and the prism length (depth) is 15 units. 2. **Formula:** 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, so its area $A$ is $$A = \text{base} \times \text{height} = 6 \times 4 = 24$$ 4. **Calculate the volume:** Multiply the base area by the prism length $$V = 24 \times 15$$ 5. **Simplify:** $$V = 360$$ 6. **Answer:** The volume of the parallelogram-based prism is **360 cubic units**.