Subjects geometry

Rectangular Pyramid Volume 366F32

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Rectangular Pyramid Volume 366F32


1. **State the problem:** We need to find the volume of a rectangular pyramid with base length $l=6$ cm, base width $w=8$ cm, and height $h=5$ cm. 2. **Formula:** The volume $V$ of a rectangular pyramid is given by $$V = \frac{1}{3} l w h$$ This formula means the volume is one-third the product of the base area ($l \times w$) and the height $h$. 3. **Substitute the values:** $$V = \frac{1}{3} \times 6 \times 8 \times 5$$ 4. **Calculate step-by-step:** First, multiply the base dimensions: $$6 \times 8 = 48$$ Then multiply by the height: $$48 \times 5 = 240$$ Finally, multiply by $\frac{1}{3}$: $$V = \frac{1}{3} \times 240 = 80$$ 5. **Answer:** The volume of the rectangular pyramid is **80 cubic centimeters**.