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{ "quality": "incomplete", "question_count": 3, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Surface Area of a Prism", "Surface Area of a Cylinder" ], "current_concepts": [ "Surface Area of a Prism", "Surface Area of a Cylinder" ] } ## Identify the formula for the surface area of a prism $$ T = L + 2B $$ ## Calculate the surface area of the cylinder in Question 4 $$ \begin{aligned} r &= 3\text{ in} \ h &= 9\text{ in} \ T &= 2\pi r h + 2\pi r^2 \ T &= 2\pi(3)(9) + 2\pi(3)^2 \ T &= 54\pi + 18\pi = 72\pi \approx 226.19\text{ in}^2 \ &\text{Using } \pi \approx 3.14: \ T &\approx 72(3.14) = 226.08\text{ in}^2 \end{aligned} $$ ## Calculate the surface area of the cylinder in Question 5 $$ \begin{aligned} r &= 3\text{ in} \ h &= 11\text{ in} \ T &= 2\pi r h + 2\pi r^2 \ T &= 2\pi(3)(11) + 2\pi(3)^2 \ T &= 66\pi + 18\pi = 84\pi \ &\text{Using } \pi \approx 3.14: \ T &\approx 84(3.14) = 263.76\text{ in}^2 \end{aligned} $$ ## Question 1 (A) $T = 2B$

(B) $T = A + 2B$

(C) $T = L + 2A$

(D) $T = L + 2B$ ## Question 4 (A) $226.08\text{ in}^2$

(B) $197.82\text{ in}^2$

(C) $228.52\text{ in}^2$

(D) $218.52\text{ in}^2$ ## Question 5 (A) $263.76\text{ in}^2$ { "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Surface Area of Solids" ] }

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Question

Explanation:

Identify the formula for the surface area of a prism

Calculate the surface area of the cylinder in Question 4

Calculate the surface area of the cylinder in Question 5

Answer:

Question 1

Question 4

Question 5