The Height of a Monument Is $20$ M a Horizontal Cross-Section at a Distance X Meters from Cross-Section

question 17

Multiple Choice

The height of a monument is $20$ m. A horizontal cross-section at a distance x meters from the top is an equilateral triangle with side $\frac{x}{4}$ meters. Find the volume of the monument.

• A) \(\frac{125 \sqrt{3}}{3} \mathrm{~m}^{3}\)
• B) \(\frac{125 \sqrt{2}}{3} \mathrm{~m}^{3}\)
• C) \(\frac{\sqrt{3}}{3} \mathrm{~m}^{3}\)
• D) \(\frac{125 \sqrt{2}}{2} \mathrm{~m}^{3}\)
• E) \(125 \sqrt{3} \mathrm{~m}^{3}\)

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Definitions:

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The ability to understand something instinctively, without the need for conscious reasoning.

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The quality of being based on or in accordance with reason or logic.

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