find the l (lateral area) and the t (surface area) for the pyramid below using the measurements given.

a = 4 mm
b = 5 mm

l = 80 mm^2 and t = 65 mm^2
l = 80 mm^2 and t = 105 mm^2
l = 40 mm^2 and t = 56 mm^2
l = 40 mm^2 and t = 65 mm^2

8 multiple choice 1 point
find the surface area of the cylinder. round to the nearest hundredth.

452.16 mm^2
463.76 mm^2
226.08 mm^2
282.6 mm^2

Question

find the l (lateral area) and the t (surface area) for the pyramid below using the measurements given.

a = 4 mm
b = 5 mm

l = 80 mm^2 and t = 65 mm^2
l = 80 mm^2 and t = 105 mm^2
l = 40 mm^2 and t = 56 mm^2
l = 40 mm^2 and t = 65 mm^2

8 multiple choice 1 point
find the surface area of the cylinder. round to the nearest hundredth.

452.16 mm^2
463.76 mm^2
226.08 mm^2
282.6 mm^2

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Lateral Area of a Pyramid", "Surface Area of a Pyramid", "Surface Area of a Cylinder" ], "new_concepts": [], "current_concepts": [ "Lateral Area of a Pyramid", "Surface Area of a Pyramid", "Surface Area of a Cylinder" ] } ## Calculate the lateral area and total surface area of the square pyramid $$ \begin{aligned} &\text{Base perimeter } P = 4b = 4(5\text{ mm}) = 20\text{ mm}\ &\text{Lateral Area } L = \frac{1}{2} P a = \frac{1}{2}(20\text{ mm})(4\text{ mm}) = 40\text{ mm}^2\ &\text{Base Area } B = b^2 = (5\text{ mm})^2 = 25\text{ mm}^2\ &\text{Total Surface Area } T = L + B = 40\text{ mm}^2 + 25\text{ mm}^2 = 65\text{ mm}^2 \end{aligned} $$ ## Calculate the surface area of the cylinder $$ \begin{aligned} &\text{Radius } r = 6\text{ mm},\quad \text{Height } h = 6\text{ mm}\ &\text{Surface Area } S = 2\pi r h + 2\pi r^2\ &S = 2(3.14)(6)(6) + 2(3.14)(6^2)\ &S = 226.08 + 226.08 = 452.16\text{ mm}^2 \end{aligned} $$ ## Question 1 L = 80 mm² and T = 65 mm²

L = 80 mm² and T = 105 mm²

L = 40 mm² and T = 56 mm²

L = 40 mm² and T = 65 mm² ## Question 2 452.16 mm²

463.76 mm²

226.08 mm²

282.6 mm²

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Surface Area of Solids" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate the lateral area and total surface area of the square pyramid

Calculate the surface area of the cylinder

Answer:

Question 1

Question 2