Question
A rectangular prism has a square base and a height of 3 units. Part of the net of the figure is shown on the coordinate grid.
Use the polygon tool to complete the net of the rectangular prism on the coordinate grid. Do NOT overlap the shapes.
Notes:
To use the polygon tool, click the location of the the first vertex, then click the location of the next sequential vertex, and so on. End by clicking on the first vertex to close the shape.
You MUST complete each polygon by closing it even if the line segment shows on the net from a different polygon.
The polygon is fully plotted when the inside is shaded blue when you move the cursor inside the polygon.
Keyboard Instructions
Initial graph state
The horizontal axis goes from -0.4 to 10.4 with ticks spaced every 1 unit(s).
The vertical axis goes from -0.4 to 10.4 with ticks spaced every 1 unit(s).
Segment from (1, 3) to (1, 6).
Segment from (1, 6) to (3, 6).
Segment from (3, 6) to (3, 3).
Segment from (3, 3) to (1, 3).
Segment from (1, 6) to (1, 8).
Segment from (1, 8) to (3, 8).
Segment from (3, 8) to (3, 6).
PolygonMove
UndoRedoReset
1
Use the polygon tool to complete the net of the rectangular prism on the coordinate grid. Do NOT overlap the shapes.
Notes:
To use the polygon tool, click the location of the the first vertex, then click the location of the next sequential vertex, and so on. End by clicking on the first vertex to close the shape.
You MUST complete each polygon by closing it even if the line segment shows on the net from a different polygon.
The polygon is fully plotted when the inside is shaded blue when you move the cursor inside the polygon.
Keyboard Instructions
Initial graph state
The horizontal axis goes from -0.4 to 10.4 with ticks spaced every 1 unit(s).
The vertical axis goes from -0.4 to 10.4 with ticks spaced every 1 unit(s).
Segment from (1, 3) to (1, 6).
Segment from (1, 6) to (3, 6).
Segment from (3, 6) to (3, 3).
Segment from (3, 3) to (1, 3).
Segment from (1, 6) to (1, 8).
Segment from (1, 8) to (3, 8).
Segment from (3, 8) to (3, 6).
PolygonMove
UndoRedoReset
1
Answers
GPT-4o mini
To complete the net of the rectangular prism with a square base and height of 3 units based on the segments you've provided, we'll need to visualize the net and add the remaining parts.
1. **Identify the base:** The segments you provided from (1, 3) to (3, 3) form the bottom edge of the square base. To complete the square base above this, we form another square from points (1, 3) to (3, 3). The other points for the square base would be (1, 3) to (1, 6) to (3, 6) to (3, 3) which we already have.
2. **Adding the vertical sides:** Since the height of the prism is 3 units, we have vertical sides extending up from each corner of the square base (the vertices at (1, 3) and (3, 3)).
- The left vertical side:
- From (1, 3) to (1, 6)
- This part is already provided.
- The right vertical side:
- From (3, 3) to (3, 6)
- This part is already provided.
- The top of the left vertical side (extending upwards from (1, 6)):
- From (1, 6) to (1, 8) (this part is already provided).
- The top of the right vertical side (extending upwards from (3, 6)):
- From (3, 6) to (3, 8) (this part is already provided).
3. **Complete the top face:** The top face of the prism will connect the points (1, 8) to (3, 8), which are points on top of the vertical lines that we've already defined.
4. **Segments to create:**
- Draw a polygon connecting (1, 8) to (3, 8):
- Click at (1, 8)
- Click at (3, 8)
- Click at (3, 6)
- Click back to (1, 6)
- Finally connect back to (1, 8) to close the polygon.
Thus, when you draw these segments carefully without overlapping, the entire net of the rectangular prism will be complete. Make sure to review to confirm all parts are included and shaded blue to indicate proper polygon completion.
1. **Identify the base:** The segments you provided from (1, 3) to (3, 3) form the bottom edge of the square base. To complete the square base above this, we form another square from points (1, 3) to (3, 3). The other points for the square base would be (1, 3) to (1, 6) to (3, 6) to (3, 3) which we already have.
2. **Adding the vertical sides:** Since the height of the prism is 3 units, we have vertical sides extending up from each corner of the square base (the vertices at (1, 3) and (3, 3)).
- The left vertical side:
- From (1, 3) to (1, 6)
- This part is already provided.
- The right vertical side:
- From (3, 3) to (3, 6)
- This part is already provided.
- The top of the left vertical side (extending upwards from (1, 6)):
- From (1, 6) to (1, 8) (this part is already provided).
- The top of the right vertical side (extending upwards from (3, 6)):
- From (3, 6) to (3, 8) (this part is already provided).
3. **Complete the top face:** The top face of the prism will connect the points (1, 8) to (3, 8), which are points on top of the vertical lines that we've already defined.
4. **Segments to create:**
- Draw a polygon connecting (1, 8) to (3, 8):
- Click at (1, 8)
- Click at (3, 8)
- Click at (3, 6)
- Click back to (1, 6)
- Finally connect back to (1, 8) to close the polygon.
Thus, when you draw these segments carefully without overlapping, the entire net of the rectangular prism will be complete. Make sure to review to confirm all parts are included and shaded blue to indicate proper polygon completion.