QQuestionMathematics
QuestionMathematics
How many vertices does a triangular prism have?
A. 4
B. 5
C. 6
D. 9
12 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:I'll solve this step by step with precise LaTeX formatting:
Step 2:: Visualize a Triangular Prism
A triangular prism is a three-dimensional geometric shape with two triangular bases and three rectangular lateral faces. To count vertices, we need to count the corner points of both triangular bases.
Step 3:: Count Vertices on Base 1
v_{base1} = 3
The first triangular base has 3 vertices:
Step 4:: Count Vertices on Base 2
v_{base2} = 3
The second triangular base also has 3 vertices:
Step 5:: Total Vertex Count
v_{total} = v_{base1} + v_{base2} = 3 + 3 = 6
Total vertices = Vertices on first base + Vertices on second base
Step 6:: Verify Visualization
If you imagine a triangular prism, you'll see 3 vertices on the bottom triangle and 3 corresponding vertices on the top triangle, creating a total of 6 vertices.
Final Answer
The key is understanding that a triangular prism has two triangular bases, each with 3 vertices, resulting in a total of 6 vertices.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students