We appreciate your visit to Which of the following shapes has 9 edges and no apex A Right triangular prism B Right rectangular prism C Right circular cylinder D Right. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve the problem, we need to identify the shape with 9 edges and no apex.
Step 1: Analyze the right triangular prism.
- A right triangular prism has two triangular bases.
- Each triangle has 3 edges, so the two bases provide a total of [tex]$3+3=6$[/tex] edges.
Step 2: Count the lateral edges.
- There are 3 lateral edges that connect corresponding vertices of the two triangular bases.
Step 3: Add the edges together.
[tex]$$\text{Total edges} = 6 \text{ (base edges)} + 3 \text{ (lateral edges)} = 9.$$[/tex]
Step 4: Confirm the absence of an apex.
- An apex is a single pointed vertex, which is found in pyramids.
- A right triangular prism does not have any apex.
Thus, the shape with 9 edges and no apex is the right triangular prism.
Step 1: Analyze the right triangular prism.
- A right triangular prism has two triangular bases.
- Each triangle has 3 edges, so the two bases provide a total of [tex]$3+3=6$[/tex] edges.
Step 2: Count the lateral edges.
- There are 3 lateral edges that connect corresponding vertices of the two triangular bases.
Step 3: Add the edges together.
[tex]$$\text{Total edges} = 6 \text{ (base edges)} + 3 \text{ (lateral edges)} = 9.$$[/tex]
Step 4: Confirm the absence of an apex.
- An apex is a single pointed vertex, which is found in pyramids.
- A right triangular prism does not have any apex.
Thus, the shape with 9 edges and no apex is the right triangular prism.
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Rewritten by : Barada
