Introduction to 3D Shapes

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Show your work for each problem.

1.
Which of these is a 3D shape?
1. a)Triangle
2. b)Square
3. c)Cube
4. d)Circle
2.
How many faces does a cube have?
1. a)8
2. b)6
3. c)4
4. d)12
3.
A cube has 8 vertices. How many edges does it have?
4.
Which 3D shape has no edges and no vertices?
1. a)Cube
2. b)Pyramid
3. c)Cylinder
4. d)Sphere
5.
How many faces does a cylinder have? (Include curved surfaces)
6.
A triangular prism has 2 triangular faces and 3 rectangular faces. How many faces, edges, and vertices does it have in total?
7.
Which 3D shape has 5 faces, 8 edges, and 5 vertices?
1. a)Square pyramid
2. b)Triangular prism
3. c)Cone
4. d)Cube
8.
A cone has 1 circular base and comes to a point at the top. How many vertices does a cone have?
9.
A rectangular prism (like a box) has 6 faces. Count the edges and vertices.
10.
A soda can is an example of which 3D shape?
1. a)Sphere
2. b)Rectangular prism
3. c)Cylinder
4. d)Cone
11.
A hexagonal prism has two hexagonal faces (6-sided) connected by rectangular faces. Calculate the total number of faces, edges, and vertices.
12.
Using Euler's formula (), if a shape has 6 faces and 8 vertices, how many edges does it have?
1. a)10
2. b)14
3. c)16
4. d)12
13.
A pentagonal pyramid has a 5-sided base and triangular faces meeting at an apex. How many edges does it have?
14.
Compare a cone and a cylinder. Which properties are the same and which are different?
15.
An ice cream cone (the cone part only, not the ice cream) is what 3D shape? How many faces does it have?
16.
Which part of a 3D shape is where two faces meet?
1. a)Face
2. b)Edge
3. c)Vertex
4. d)Base
17.
Match these real-world objects to their 3D shapes: a basketball, a dice, a tent (triangular), and a toilet paper roll.