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Learn about the characteristics of three-dimensional figures, such as parallel and congruent faces, edges, and vertices. Practice identifying figures and calculating the volume of rectangular prisms using counting cubes and formulas.
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Five-Minute Check (over Lesson 14–3) Main Idea NYS Core Curriculum Key Concepts: Three-Dimensional Figures Example 1: Characteristics of Solids Example 2: Characteristics of Solids Lesson Menu
I will identify characteristics of three-dimensional figures. Main Idea
Preparation for 6.G.4 Determine the volume of rectangular prisms by counting cubes and develop the formula Preparation for 6.M.1 Measure capacity and calculate volume of a rectangular prism NY
Characteristics of Solids Describe parts of the figure to the right that are parallel and congruent. Then identify the figure. faces:The circular bases are parallel and congruent. They are perpendicular to the curved surface of the figure. edges:The figure has no edges. Answer: The figure is a cylinder. Example 1
A B C D Identify the figure. • triangular prism • rectangular prism • cylinder • cone Example 1
Characteristics of Solids Describe parts of the cereal box that are perpendicular and congruent. Then identify the shape of the box. Example 2
Characteristics of Solids faces:The cereal box has six faces. Each rectangular face is perpendicular to the four adjacent faces. The opposite faces are parallel and congruent. edges:The cereal box has 12 edges. Each edge is parallel and congruent to the opposite edge. vertices:The cereal box has 8 vertices. Answer: The cereal box is a rectangular prism. Example 2
A B C D Identify the figure. • triangular prism • rectangular prism • cylinder • cone Example 2
End of the Lesson End Lesson
Five-Minute Check (over Lesson 14–3) Image Bank Math Tool Chest Volumes of Prisms Resources
A B C D (over Lesson 14–3) Find the area of the rectangle. • 80 mi2 • 88 mi2 • 90 mi2 • 90 mi3 Five Minute Check 1
A B C D = 25 in., w = 42 in. (over Lesson 14–3) Find the area of the rectangle. • 1,015 in.2 • 525 in.2 • 1,050 in.2 • 835 in.3 Five Minute Check 2
A B C D = 8.6 cm, w = 8.6 cm (over Lesson 14–3) Find the area of the rectangle. • 74.98 cm2 • 73.96 cm2 • 82.13 cm2 • 82.43 cm3 Five Minute Check 3