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Nets of 3D Shapes: Unfolding Geometry's Hidden Patterns

Geometry: Master Shapes, Proofs & Spatial Reasoning

Angles and Lines

Angle relationships

Pairs of lines and angles

Parallel lines and transversals

Parallel line proofs

Perpendicular line proofs

Parallel and perpendicular line segments

Identifying Parallel Lines

Identifying Perpendicular Lines

Perpendicular bisectors

Angle bisectors

Angle Bisectors

Coordinate Plane

Cartesian plane

Cartesian Plane — Coordinates

Draw on coordinate planes

Triangles

Pythagorean theorem

Pythagorean Theorem

Using the pythagorean relationship

Applications of pythagorean theorem

Classifying Triangles

Isosceles and Equilateral Triangles

Circles

Angles in a circle

Chord properties 

Tangent properties

Circles and circumference 

Circle properties

Arcs of a circle

Areas and sectors of circles

Central angles and proofs

Inscribed angles and proofs

Central and inscribed angles in circles

Circle chord, tangent, and inscribed angles proofs

Surface Area and Volume

Volume of rectangular prisms word problems

Surface area of 3-dimensional shapes

Introduction to surface area of 3-dimensional shapes

Nets of 3-dimensional shapes

Surface area of prisms

Surface Area of Prisms Rectangle

Calculate the Surface Area

Introduction to volume

Calculate the Volume

Volume of prisms

Find the volume

Volume of Prisms Calculate Area and Volume

Rectangular Prisms Table

Volume of Prisms — Word Problem

Volume of cylinders

Word problems relating volume of prisms and cylinders

Surface area of cylinders

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

Transformations

Identifying vertices

Line symmetry

Rotational symmetry and transformations

Understanding tessellations

understand tessellations Interior Angle

Tessellations using translations and reflections

tessellations using translations and reflections

Tessellations using rotations

Introduction to transformations

Horizontal and vertical distances

Similarity

Similar solids

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Congruence

Congruence and congruent triangles

Triangles congruent by SSS proofs

Triangles congruent by SAS and HL proofs

Triangles congruent by ASA and AAS proofs

Logic

Inductive reasoning

Statements

Negations

Conjunctions and disjunctions

Truth tables

Conditionals

Inverses, converses, and contrapositives

Biconditionals

Deductive reasoning

Algebraic proofs

Reasoning

Consecutive integers

Number sequences

Finding the missing digit

math

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Intro

<p>- Hi, welcome to this question right here. So this is a little question where it's kind of fun. Pretend you do have this in front of you. It's called a triangular prism. So if you unwrap it, imagine the net thing you have. So, I'm going to pretend that this is actually an equilateral triangle. So there's one in the front and there's one in the back. So what happened is, I'm going to draw one of them here, and there's the middle piece and there's another one over there. They're actually the same size, sorry about my drawing. So basically if I unwrap this open, basically I fold this one down, I fold the one on the back down, I get the one on the top, one on the bottom and this piece is the bottom layer. But there's also two more layers here and here, and where are they connected? Well they're connected between the bottom layer of the rectangle here. So it's actually just like over here as well; similar size. So imagine if you actually fold this, if you actually take this and put it flat like this, what happened is you can fold this side, you can fold this side and then the top and the bottom comes all folded upwards, you get yourself back to the triangular prism. Now because I don't know if this is a equilateral triangle, if it does, then all the sides should be the same length okay. They all should be the same and that might be including the last pieces here too. But that's basically a rough sketch of the net for this diagram right here. All right. Thanks for watching.</p>

It is possible to represent 3-dimensional shapes into 2-dimensional patterns called nets. If you fold the nets back up, they will be reverted to their original 3-dimensional form. It is way easier to find the surface area and perimeter of a 3D object if we know its net!

Nets of three-dimensional objects

nets of 3-dimensional shapes

How to make nets of 3-dimensional shapes