dave is comparing the circumferences of several trees in his yard. the oak tree is 0.539 meters in circumference, the ash tree has a circumference of 0.509 yards, the elm tree is 6281.70 millimeters around, and the poplar has a circumference of 0.000385 miles. there are 30.48 centimeters in a foot. which tree has the greatest circumference?
a. oak
b. ash
c. elm
d. poplar

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Unit Conversion", "Dimensional Analysis" ], "new_concepts": [ "Multi-unit Comparison" ], "current_concepts": [ "Unit Conversion", "Dimensional Analysis", "Multi-unit Comparison" ] } ## Convert all measurements to meters Using the *Unit Conversion* and *Dimensional Analysis* knowledge points $$ \begin{aligned} &\text{Oak: } 0.539\text{ m}\ &\text{Ash: } 0.509\text{ yd} \times \frac{36\text{ in}}{1\text{ yd}} \times \frac{2.54\text{ cm}}{1\text{ in}} \times \frac{1\text{ m}}{100\text{ cm}} = 0.509 \times 0.9144\text{ m} \approx 0.4654\text{ m}\ &\text{Elm: } 6281.70\text{ mm} \times \frac{1\text{ m}}{1000\text{ mm}} = 6.2817\text{ m}\ &\text{Poplar: } 0.000385\text{ mi} \times \frac{5280\text{ ft}}{1\text{ mi}} \times \frac{30.48\text{ cm}}{1\text{ ft}} \times \frac{1\text{ m}}{100\text{ cm}} = 0.000385 \times 1609.344\text{ m} \approx 0.6196\text{ m} \end{aligned} $$ ## Compare the converted values Using the *Unit Conversion* knowledge point $$ \begin{aligned} &\text{Elm: } 6.2817\text{ m}\ &\text{Poplar: } 0.6196\text{ m}\ &\text{Oak: } 0.539\text{ m}\ &\text{Ash: } 0.4654\text{ m}\ &6.2817\text{ m} > 0.6196\text{ m} > 0.539\text{ m} > 0.4654\text{ m} \end{aligned} $$

a. oak

b. ash

c. elm

d. poplar

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Unit Conversion" ] }

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Question

Explanation:

Convert all measurements to meters

Compare the converted values

Answer: