The Height of a Monument Is $20 \mathrm {~m}$ a Horizontal Cross-Section at a Distance

question 158

Multiple Choice

The height of a monument is $20 \mathrm {~m}$ . 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. Select the correct answer.

• 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) \(125 \sqrt { 3 } \mathrm {~m} ^ { 3 }\)

---

Definitions:

Assigned

The process of transferring rights, duties, or properties to another party, often seen in contracts or legal agreements.

Statute of Frauds

A legal principle requiring certain types of contracts to be in writing in order to be enforceable.

Contracts

Legally binding agreements between two or more parties that establish obligations which are enforceable by law.

Intended Beneficiary

An intended beneficiary is a person or entity that a contract explicitly states will benefit from its execution or terms.