Subjects geometry

Pyramid Width 35B1Aa

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1. **State the problem:** We need to find the width of a pyramid given its volume, height, and length. 2. **Given:** - Volume $V = 0.045$ m³ - Height $h = 60$ cm = $0.6$ m (converted to meters) - Length $l = 0.5$ m 3. **Formula for the volume of a pyramid:** $$V = \frac{1}{3} \times l \times w \times h$$ where $w$ is the width we want to find. 4. **Rearrange the formula to solve for width $w$:** $$w = \frac{3V}{l \times h}$$ 5. **Substitute the known values:** $$w = \frac{3 \times 0.045}{0.5 \times 0.6}$$ 6. **Calculate the denominator:** $$0.5 \times 0.6 = 0.3$$ 7. **Calculate the numerator:** $$3 \times 0.045 = 0.135$$ 8. **Calculate the width:** $$w = \frac{0.135}{0.3} = 0.45$$ 9. **Answer:** The width of the pyramid is $0.45$ meters.