a piece of metal in the shape of a rectangle was folded as shown below. in the figure on the right, the \?\ symbol represents what length?

3 centimetres
6 centimetres
8 centimetres
11 centimetres

Question

a piece of metal in the shape of a rectangle was folded as shown below. in the figure on the right, the \?\ symbol represents what length?

3 centimetres
6 centimetres
8 centimetres
11 centimetres

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Geometric Folding", "Net of 3D Shapes" ], "new_concepts": [], "current_concepts": [ "Geometric Folding", "Net of 3D Shapes", "Prism Net Analysis" ] } ## Identify the dimensions of the flat rectangular sheet $$ \text{Width} = 14\text{ cm},\quad \text{Height} = 6\text{ cm} $$ ## Analyze the folding into a 3D prism $$ \begin{aligned} &\text{Prism height} = 6\text{ cm}\ &\text{Perimeter of the triangular base} = 14\text{ cm} \end{aligned} $$ ## Calculate the missing side length of the triangular base $$ \begin{aligned} &\text{Base side 1} = 3\text{ cm}\ &\text{Base side 2} = 3\text{ cm}\ &\text{Base side 3 (represented by "?")} = 14 - 3 - 3 = 8\text{ cm} \end{aligned} $$

3 centimetres

6 centimetres

8 centimetres

11 centimetres

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Geometric Folding" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the dimensions of the flat rectangular sheet

Analyze the folding into a 3D prism

Calculate the missing side length of the triangular base

Answer: