Uniform Cross Section

Definition of Uniform Cross Section

A Uniform Cross Section is the cross section of the solid, parallel to base, such that the resulting figure has the same shape and size as that of the base of the figure.

More About Uniform Cross Section

    Solids like pyramids and cones have slant heights and hence do not have uniform cross section.

Examples of Uniform Cross Section

    The uniform cross section of the given prism is a square.
      Definition Uniform Cross Section
    The uniform cross section of the given cylinder is a circle.
      Definition of Uniform Cross Section

Video Examples: How to Find the Cross-Sectional Area of a Cylinder, Given the Diameter


Solved Example on Uniform Cross Section

Ques: Choose the uniform cross section of the solid shown.

    Solved Example on Uniform Cross Section
    Choices:
    A. Figure 3
    B. Figure 2
    C. Figure 1
    D. Figure 4
    Correct Answer: B

Solution:

    Step 1: The solid shown is a pentagonal prism
    Step 2: The uniform cross section of the pentagonal prism is a pentagon
    Step 3: So, Figure 2 is the uniform cross section of the solid shown

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