a
c
b
face
edge
vertex
10 multiple choice 1 point
find the surface area of the cube.
4 in
192 in^2
24 in^2
64 in^2
96 in^2

Question

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Geometric Terms", "Area of a Square" ], "new_concepts": [ "Surface Area of a Cube", "Parts of a Three-Dimensional Figure" ], "current_concepts": [ "Geometric Terms", "Area of a Square", "Surface Area of a Cube", "Parts of a Three-Dimensional Figure" ] } ## Identify parts of the rectangular prism $$ \begin{aligned} &\text{Arrow A points to a corner point: } \text{Vertex} \ &\text{Arrow B points to a line segment where faces meet: } \text{Edge} \ &\text{Arrow C points to a flat surface: } \text{Face} \end{aligned} $$ ## Calculate the surface area of the cube $$ \begin{aligned} &s = 4\text{ in} \ &A_{\text{face}} = s^2 = 4^2 = 16\text{ in}^2 \ &SA = 6 \times A_{\text{face}} = 6 \times 16 = 96\text{ in}^2 \end{aligned} $$ ## Question 1 * **A**: Vertex * **C**: Face * **B**: Edge ## Question 2 192 in²

24 in²

64 in²

96 in²

{ "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Geometry", "Surface Area of a Cube" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify parts of the rectangular prism

Calculate the surface area of the cube

Answer:

Question 1

Question 2