lesson 7 menu warm-up problems 1.name polygon a by its number of sides. 2.name polygon b by its...
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Warm-up Problems
1. Name polygon A by its
number of sides.
2. Name polygon B by its
number of sides.
3. Find the perimeter of polygon A.
4. Find the perimeter of polygon B.
5. Classify the polygons as regular or irregular.
• polyhedron
• face
• edges
• prism
• bases
• vertex
• Identify three-dimensional figures.
• Find surface area and volume.
• regular prism
• pyramid
• regular polyhedron
• Platonic solids
• cylinder
• cone
• sphere
• surface area
• volume
Identify Solids
A. Identify the solid. Name the bases, faces, edges, and vertices.
Identify Solids
The bases are rectangles. This solid is a rectangular prism.
Answer: rectangular prism;Bases: rectangles EFHG, ABDCFaces: rectangles FBDH, EACG, GCDH, EFAB, EFGH, ABCD
Vertices: A, B, C, D, E, F, G, H
Identify Solids
B. Identify the solid. Name the bases, faces, edges, and vertices.
Identify Solids
The bases are hexagons. This solid is a hexagonal prism.
Answer: hexagonal prism;Bases: hexagon EFGHIJ and hexagon KLMNOPFaces: rectangles EFLK, FGML, GHMN, HNOI, IOPJ, JPKE
Vertices: K, L, M, N, O, P, E, F, G, H, I, J
Identify Solids
C. Identify the solid. Name the bases, faces, edges, and vertices.
Identify Solids
The base is a circle and there is one vertex. So, it is a cone.
Answer: Base: circle TVertex: Wno faces or edges
A. A
B. B
C. C
D. D
A. triangular pyramid
B. pentagonal prism
C. rectangluar prism
D. square pyramid
Identify the solid.
Surface Area and Volume
A. Find the surface area of the cone.
Answer: The cone has a surface area of 75.4 cm2.
π π
π π
.π
.cm2
Surface Area and Volume
B. Find the volume of the cone.
Answer: The cone has a volume of 37.7 cm3.
π
.cm3
π
.π
Surface Area and Volume
The amount of material used to make the tube would be equivalent to the surface area of the cylinder.
Surface Area and Volume
Answer: Mike needs about 405 square inches of cardboard for each tube.
.
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