Mathematics Grade 6 15 min

Which figure is being described?

Which figure is being described?

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Introduction & Learning Objectives

Learning Objectives Define and identify key components of 3D figures: faces, edges, and vertices. Distinguish between different types of prisms (e.g., rectangular prism, triangular prism) based on their properties. Differentiate between different types of pyramids (e.g., square pyramid, triangular pyramid) based on their properties. Accurately count the number of faces, edges, and vertices for common 3D figures. Match a given verbal description of a 3D figure to its correct geometric name. Use precise mathematical vocabulary to describe the characteristics of various 3D shapes. Ever wonder how architects describe the buildings they design? 🏗️ Just like they use specific words, you'll learn to identify 3D shapes by their unique features! In this lesson, you'll beco...
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Key Concepts & Vocabulary

TermDefinitionExample Three-dimensional (3D) FigureA solid shape that has length, width, and height, occupying space.A cube, a sphere, a pyramid, or a rectangular prism. FaceA flat surface of a 3D figure.A standard dice (a cube) has 6 faces, each of which is a square. EdgeA line segment where two faces of a 3D figure meet.A cube has 12 edges, which are the lines forming its skeleton. Vertex (Vertices)A point where three or more edges of a 3D figure meet; often called a corner.A cube has 8 vertices, which are its corners. PrismA 3D figure with two identical and parallel bases, and rectangular (or parallelogram) faces connecting the bases. Prisms are named by the shape of their bases.A rectangular prism has two rectangular bases and four rectangular side faces. PyramidA 3D figure with one b...
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Core Formulas

Identifying Prisms Prisms have two identical, parallel bases and rectangular (or parallelogram) side faces. They are named by the shape of their bases. If a figure has two congruent polygon bases connected by rectangular faces, it's a prism. For example, if the bases are triangles, it's a triangular prism. The number of side faces equals the number of sides of the base. Identifying Pyramids Pyramids have one base and triangular side faces that meet at a single point (apex). They are named by the shape of their base. If a figure has one polygon base and all other faces are triangles meeting at a single point, it's a pyramid. For example, if the base is a square, it's a square pyramid. The number of triangular faces equals the number of sides of the base....

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Sample Practice Questions

Challenging
I am a pyramid where the number of edges is exactly 10. Which figure am I?
A.Decagonal Pyramid
B.Pentagonal Pyramid
C.Square Pyramid
D.Pentagonal Prism
Challenging
I am a prism. The ratio of my rectangular faces to my non-rectangular faces (bases) is 4:1. Which figure am I?
A.Octagonal Prism
B.Square Prism
C.Rectangular Prism
D.Hexagonal Prism
Challenging
I have the same number of vertices as a cube. However, I am a pyramid. Which figure am I?
A.Octagonal Pyramid
B.Heptagonal Pyramid
C.Hexagonal Pyramid
D.cube is a pyramid

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