find the lateral surface area of the following square-based pyramid:

$\text{lsa} = ?\text{ cm}^2$

Question

find the lateral surface area of the following square-based pyramid:

$\text{lsa} = ?\text{ cm}^2$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Lateral Surface Area", "Surface Area of a Pyramid" ], "new_concepts": [], "current_concepts": [ "Lateral Surface Area", "Surface Area of a Pyramid" ] } ## Identify the given dimensions Using the *Lateral Surface Area* and *Surface Area of a Pyramid* knowledge points $$ \begin{aligned} &\text{Base shape: Square}\ &\text{Base side length } (s) = 6\text{ cm}\ &\text{Slant height } (l) = 4\text{ cm} \end{aligned} $$ ## Calculate the lateral surface area Using the *Lateral Surface Area* and *Surface Area of a Pyramid* knowledge points $$ \begin{aligned} &\text{Perimeter of base } (P) = 4 \times s = 4 \times 6 = 24\text{ cm}\ &\text{LSA} = \frac{1}{2} \times P \times l = \frac{1}{2} \times 24 \times 4 = 48\text{ cm}^2 \end{aligned} $$ Find the lateral surface area of the following square-based pyramid: LSA = 48 $\text{cm}^2$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Lateral Surface Area" ] }

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Question

Explanation:

Identify the given dimensions

Calculate the lateral surface area

Answer: