Problem Overview:
The task involves identifying and analyzing 3-dimensional shapes. For each shape, we need to determine the number of
faces,
edges, and
vertices. Additionally, we must match the name of each shape with its corresponding image.
Shapes in the Image:
1.
Sphere
2.
Pyramid
3.
Cone
4.
Cylinder
Solution:
####
Step 1: Identify Each Shape
-
Top Left: This is a
sphere.
-
Top Right: This is a
pyramid.
-
Bottom Left: This is a
cone.
-
Bottom Right: This is a
cylinder.
####
Step 2: Analyze Each Shape
We will now count the
faces,
edges, and
vertices for each shape.
#####
1. Sphere
-
Faces: A sphere has
0 faces because it is a smooth, curved surface without any flat surfaces.
-
Edges: A sphere has
0 edges because there are no straight lines or boundaries.
-
Vertices: A sphere has
0 vertices because there are no corners or points.
#####
2. Pyramid
-
Faces: A pyramid (specifically a triangular pyramid, also known as a tetrahedron) has
4 faces (all triangular).
-
Edges: It has
6 edges (each edge is a line segment connecting two vertices).
-
Vertices: It has
4 vertices (the points where the edges meet).
#####
3. Cone
-
Faces: A cone has
2 faces — one curved face and one flat circular face.
-
Edges: A cone has
1 edge (the circular edge at the base).
-
Vertices: A cone has
1 vertex (the pointed top).
#####
4. Cylinder
-
Faces: A cylinder has
3 faces — two flat circular faces (top and bottom) and one curved surface.
-
Edges: A cylinder has
2 edges (the circular edges at the top and bottom).
-
Vertices: A cylinder has
0 vertices because it does not have any sharp corners or points.
####
Step 3: Fill in the Worksheet
Using the analysis above, we can fill in the worksheet as follows:
1.
Sphere
- Faces: 0
- Edges: 0
- Vertices: 0
2.
Pyramid
- Faces: 4
- Edges: 6
- Vertices: 4
3.
Cone
- Faces: 2
- Edges: 1
- Vertices: 1
4.
Cylinder
- Faces: 3
- Edges: 2
- Vertices: 0
####
Step 4: Paste the Names
Cut out the names from the bottom of the worksheet and paste them into the smaller boxes next to the corresponding shapes:
- Top Left:
sphere
- Top Right:
pyramid
- Bottom Left:
cone
- Bottom Right:
cylinder
Final Answer:
\[
\boxed{
\begin{array}{c|c|c|c}
\text{Shape} & \text{Faces} & \text{Edges} & \text{Vertices} \\
\hline
\text{Sphere} & 0 & 0 & 0 \\
\text{Pyramid} & 4 & 6 & 4 \\
\text{Cone} & 2 & 1 & 1 \\
\text{Cylinder} & 3 & 2 & 0 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of shape worksheet year 1.
