1.Polyhedron
2.Face
3.Edge vs vertex
5 Problems - SHOW ALL WORK!
1. Identify the shape of the real-life object, and write the number of faces, edges, and vertices.
ICE CREAM
Shape: ________
Faces: ________
Edges:________
Vertices:________
1.Identify the shape of the real-life object, and write the number of faces, edges, and vertices.
PAINT CAN
Shape: ________
Faces: ________
Edges:________
Vertices:________
What is the diameter of the cone below:
10 in height
4 in raidus
What is the radius of the cylinder below:
5.2 FT diameter
11.2 FT height
5.Explain the difference and similarity of a cone and a cylinder.
1. Identify the shape of the real-life object, and write the number of faces, edges, and vertices.
ICE CREAM
Shape: Cone
Faces: 2 (1 circular base, 1 curved surface)
Edges: 1
Vertices: 1 (apex)
2. Identify the shape of the real-life object, and write the number of faces, edges, and vertices.
PAINT CAN
Shape: Cylinder
Faces: 3 (2 circular bases, 1 curved surface)
Edges: 2
Vertices: 0
3. The diameter of the cone can be calculated using the Pythagorean theorem:
diameter = √(radius^2 + height^2)
diameter = √(4^2 + 10^2)
diameter = √(16 + 100)
diameter = √116
diameter ≈ 10.77 inches
4. The radius of the cylinder can be found by dividing the diameter by 2:
Radius = 5.2 FT / 2
Radius = 2.6 FT
5. The difference between a cone and a cylinder is in their shapes - a cone has a circular base that tapers to a single point (apex), while a cylinder has two circular bases that are parallel to each other. The similarity between them is that they both have curved surfaces and can hold a certain amount of volume depending on their dimensions.