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3 Dimensional – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">3 Dimensional3 Dimensional – Definition, ExamplesTable of ContentsThree Dimensional Shapes (3D Shapes) Definition of Three Dimensional Shapes

A three dimensional shape can be defined as a solid figure or an object that has three dimensions— length, width, and height. Unlike two dimensional shapes, three-dimensional shapes have depth. These figures are commonly called 3D shapes and occupy space, which is measured in terms of volume. In 3D shapes, dimensions can be thought of as measurements in different directions, with length, width, and depth being the three key measurements.

Three dimensional shapes come in various forms, including cubes, rectangular prisms, spheres, cones, and cylinders. Each 3D shape has specific attributes such as faces (flat or curved surfaces), edges (where two faces meet), and vertices (corners where faces meet). For example, a sphere has one curved face with no edges or vertices, while a cube has six square faces, twelve edges, and eight vertices. Other shapes like cylinders have circular faces and curved surfaces, making them unique in their structure." 3D shapes

Examples of Three Dimensional Shapes Example 1: Identifying 3D Shapes Problem:

Which of the following is a 3D shape? Cone, Square, Sphere, Cuboid, Cylinder, Parallelogram 3D shapes

Step-by-step solution:

Step 1, Remember what makes a shape three-dimensional. 3D shapes have length, width, and height.

Step 2, Look at each option and check if it has three dimensions:

Cone: Has a circular base and height - this is 3D Square: Has only length and width - this is 2D Sphere: Has length, width, and height - this is 3D Cuboid: Has length, width, and height - this is 3D Cylinder: Has circular bases and height - this is 3D Parallelogram: Has only length and width - this is 2D

Step 3, Pick out all the 3D shapes from the list: Cone, Sphere, Cuboid, Cylinder

Example 2: Understanding 3D Shape Attributes Problem:

State whether the following are true or false.

A three-dimensional shape has 333 dimensions. Three-dimensional shapes are also called flat shapes. Three-dimensional shapes occupy space. All three-dimensional shapes have flat faces. Step-by-step solution:

Step 1, Check each statement against what we know about 3D shapes:

Step 2, Statement 111: "A three-dimensional shape has 333 dimensions." This is true because 3D shapes have length, width, and height.

Step 3, Statement 222: "Three-dimensional shapes are also called flat shapes." This is false. Three-dimensional shapes are called solid shapes, not flat shapes. Flat shapes are 2D.

Step 4, Statement 333: "Three-dimensional shapes occupy space." This is true because 3D shapes have volume and take up space.

Step 5, Statement 444: "All three-dimensional shapes have flat faces." This is false. Some 3D shapes, like a cuboid, do have them, but others, such as a sphere, have curved surfaces without any flat faces.

3D shapes

Example 3: Calculating Surface Area of a Cuboid Problem:

Calculate the surface area of a cuboid with a width of 444 units, length of 333 units, and height of 555 units. Cuboid

Step-by-step solution:

Step 1, Write down what we know about the cuboid:

Length (l) = 333 units Width (w) = 444 units Height (h) = 555 units

Step 2, Remember the formula for the surface area of a cuboid: Surface area = 2×(l×w+w×h+l×h)2 \times (l \times w + w \times h + l \times h)2×(l×w+w×h+l×h) square units

Step 3, Put the values into the formula: Surface area = 2×[(3×4)+(4×5)+(3×5)]2 \times [(3 \times 4) + (4 \times 5) + (3 \times 5)]2×[(3×4)+(4×5)+(3×5)]

Step 4, Solve each part inside the brackets:

3×4=123 \times 4 = 123×4=12 (area of top and bottom faces) 4×5=204 \times 5 = 204×5=20 (area of front and back faces) 3×5=153 \times 5 = 153×5=15 (area of left and right faces)

Step 5, Add these areas: 12+20+15=4712 + 20 + 15 = 4712+20+15=47

Step 6, Multiply by 222 because each face appears twice: 2×47=942 \times 47 = 942×47=94 square units

Step 7, So the surface area of the cuboid is 949494 square units.

Comments(6)GGymnastUlyssesNovember 5, 2025I've used this 3 dimensional glossary page with my students. It's super helpful in making complex shapes easy to understand!

MCMs. CarterSeptember 17, 2025I’ve used the 3 Dimensional definition and examples from EDU.COM to help my kids understand shapes better. The way it breaks down faces, edges, and vertices made their homework so much easier!

NNatureLover87September 10, 2025I used this 3 Dimensional definition and examples to help my kids understand shapes better. The visuals and explanations made it so easy for them to grasp! Great resource for parents and teachers alike.

MCMs. CarterAugust 27, 2025I’ve been using this page to explain 3-dimensional shapes to my kids, and it’s been a lifesaver! The examples like cubes and spheres made it so easy for them to understand. Highly recommend!

NNatureLover2025August 20, 2025This 3 Dimensional glossary page was super helpful for my kids! They finally grasped the idea of faces, edges, and vertices with the examples. I’d recommend it to any parent teaching geometry basics!

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