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Practice identifying vertices on 3D shapes with this geometry worksheet.

Worksheet showing six 3-dimensional shapes with instructions to draw a small circle around each vertex.

Worksheet showing six 3-dimensional shapes with instructions to draw a small circle around each vertex.

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Show Answer Key & Explanations Step-by-step solution for: 4th grade math Worksheets, word lists and activities. | GreatSchools

Problem Description:


The task involves drawing small circles around each vertex (corner) of the given 3-dimensional shapes. The goal is to identify and mark all the vertices of each shape with small circles.

Solution Explanation:



#### Step 1: Understand the Task
- A vertex in a 3D shape is a point where edges meet.
- The task requires identifying all vertices in each shape and marking them with small circles.

#### Step 2: Analyze Each Shape
We will go through each shape one by one and identify its vertices.

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##### Shape 1: Rectangular Prism
- A rectangular prism has 8 vertices.
- Mark a small circle at each of the 8 corners of the prism.

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##### Shape 2: Cube
- A cube also has 8 vertices.
- Mark a small circle at each of the 8 corners of the cube.

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##### Shape 3: Triangular Pyramid (Tetrahedron)
- A triangular pyramid has 4 vertices.
- Mark a small circle at each of the 4 corners of the tetrahedron.

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##### Shape 4: Cylinder
- A cylinder has 0 vertices because it does not have any sharp corners. It has curved surfaces and circular bases.
- Do not mark any circles for this shape.

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##### Shape 5: Cone
- A cone has 1 vertex at its tip.
- Mark a small circle at the tip of the cone.

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##### Shape 6: Sphere
- A sphere has 0 vertices because it is a perfectly round object with no corners or edges.
- Do not mark any circles for this shape.

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##### Shape 7: Triangular Prism
- A triangular prism has 6 vertices.
- Mark a small circle at each of the 6 corners of the triangular prism.

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#### Step 3: Draw the Circles
For each shape, carefully draw a small circle at every identified vertex. Ensure that the circles are clearly visible and placed accurately at the corners.

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Final Answer:


Mark the vertices as follows:
1. Rectangular Prism: 8 vertices
2. Cube: 8 vertices
3. Triangular Pyramid: 4 vertices
4. Cylinder: 0 vertices
5. Cone: 1 vertex
6. Sphere: 0 vertices
7. Triangular Prism: 6 vertices

Final Answer Boxed:
\[
\boxed{\text{Draw small circles at all vertices of each shape as described above.}}
\]
Parent Tip: Review the logic above to help your child master the concept of 4th grade math homework worksheet.
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