Geometry

Geometry is the study of mathematical measurement, properties, and relationships of points, lines, angles, surfaces, and solids. Geometry is for upper primary/lower secondary level school students. There are 12 modules and 138 lesson topics.

Module 1: Three-Dimensional Figures

Three-Dimensional Figures

n this lesson, we’re going to explore the fascinating world of three-dimensional figures, or 3D shapes. From cubes to spheres, cylinders to pyramids, 3D figures are all around us, forming the structure of everyday objects and buildings.

A plane is a two dimensional flat surface that extends in all directions.

Intersecting planes can also form three-dimensional figures or solids.

A polyhedron is a solid with flat surfaces that are polygons.

Let's Identify Solids

A. Identify the solid. Name the bases, faces, edges, and vertices.

Answer:

This figure has two parallel congruent bases that are rectangles, GHJK and LMNP, so it is a rectangular prism.

Faces: GHJK, LMNP, GHML, HJNM, JKPN, GKPL

Edges: GH, HJ, JK, GK, LM, MN, NP, LP, GL, HM, JN, KP

Vertices: G, H, J, K, L, M, N, P

 

B. Identify the solid. Name the bases, faces, edges, and vertices.

Answer:

This figure has one triangular base, DEF, so it is a triangular pyramid.

Faces: DEF, DEG, DFG, EFG

Edges: DE, DF, DG, EF, EG, FG

Vertices: D, E, F, G

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Welcome to Geometry: Identifying Three-Dimensional Figures!

Have you ever looked around and noticed the different shapes of objects—like a basketball, a box, or even a cone-shaped ice cream? These are all examples of three-dimensional figures, and understanding them is a key part of geometry!

In this video, we’ll explore the most common 3D shapes, like cubes, spheres, cones, and cylinders. You’ll learn how to identify each shape by recognizing their faces, edges, and vertices, and discover where these shapes appear in the world around us. By the end of this lesson, you’ll be able to name and describe 3D figures confidently

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Whether it’s algebra, geometry, or pre-calculus, our lessons are crafted to support every learner at their own pace. Start today, and see how math can open up a world of possibilities!