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11+ Maths Solved Topic Wise Questions

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3D Shapes - 11 + Exam Questions & Answers





















Properties of 3D Shapes for 11 Plus Exams

1. What are 3D Shapes?

3D Shapes or 3-dimensional shapes are different from 2D Shapes. The three dimensions are length, width, and height. 

1.1 Faces, Edges, and Vertices

  • Faces: A face is a flat or curved surface.
  • Edges: Edges are straight lines where two faces meet in the 3D Shape. 
  • Vertices: Vertices are the corners in the 3D shape. Two or more edges meet to make a corner

Let us now take a look at the properties of some of the most common 3D Shapes.

11+ Topicwise 3D Shapes Article Image 01

Difference between pyramids and prisms:

1) A Prism has two identical bases whereas a pyramid has only one base.

2) The sides of a pyramid are triangular in shape joined at a point, whereas the sides of a prism are always rectangular in shape.

2. Plans and Elevations

Plans and elevations are the 2D drawings of the 3D shapes.

Plan: The plan shows how a 3D shape will look when it is seen from the top.

11+ Topicwise 3D Shapes Article Image 02

Elevation: Elevation shows how a 3D shape will look when it is seen from the front or side.

               Elevation depends on which side you are looking from.

11+ Topicwise 3D Shapes Article Image 03

2.1 Solved example

For the shape given below, draw:

11+ Topicwise 3D Shapes Article Image 04

     a) Front elevation

     b) Side elevation

     c) Plan view

Solution:

     a) Front elevation: the view you’d see directly from the front arrow.

11+ Topicwise 3D Shapes Article Image 05

     b) Side Elevation: the view you’d see directly from the side arrow.

11+ Topicwise 3D Shapes Article Image 06

     c) Plan view: the view you’d see directly from the arrow above.

11+ Topicwise 3D Shapes Article Image 07

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