Cross Section

The cross section of a solid is a plane section resulting from a cut (real or imaginary) perpendicular to the length (or breadth of height) of the solid.

If the shape and size of the cross section is the same at every point along the length (or breadth or height) of the solid then the cross section is uniform.




Cross Section Perpendicular to Height
Cross Section Perpendicular to Length

The two solids shown above have uniform cross sections.

The figure given below is a solid (Cone) whose cross sections perpendicular to height are not uniform.

Cross Section of Cone Perpendicular to Height

Volume of a solid figure with uniform cross section

= (Area of the cross section) × length (or height or breadth)

= A × h


Lateral surface area of a solid figure with uniform cross section

= (Perimeter of the cross section) × length (or height or breadth)

= P × h

Cross Section of Sold Figure

Total surface area of a solid figure with uniform cross section

= Lateral surface area + Sum of the areas of the two plane ends

= P × h + 2 × A







9th Grade Math

From Cross Section to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Addition of 3-Digit Numbers with Regrouping | Step-by-Step Method

    Apr 07, 25 02:53 AM

    Addition of 3-Digit Numbers with Regrouping
    We will learn addition of 3-digit numbers with regrouping. Do you know the addition of 3-digit number? Yes I know how to add the numbers. Now, let us learn to add the 3-digit numbers with regrouping.

    Read More

  2. Worksheet on Fractions | Questions on Fractions | Representation | Ans

    Apr 07, 25 02:37 AM

    Worksheet on Fractions
    In worksheet on fractions, all grade students can practice the questions on fractions on a whole number and also on representation of a fraction. This exercise sheet on fractions can be practiced

    Read More

  3. Counting Numbers from 1 to 50 | Match the Number | Missing Numbers

    Apr 04, 25 03:46 PM

    Math Coloring Pages on Counting Number Oredr
    In counting numbers from 1 to 50, recognize the numbers, count and then join the numbers in the correct number order. Here we mainly need eye-hand coordination to draw the picture and maintain the num

    Read More

  4. Counting Eleven to Twenty with Numbers and Words |Numbers from 11 - 20

    Apr 04, 25 03:21 PM

    Counting eleven to twenty with numbers and words are explained below. One ten and one more is eleven. Eleven comes after ten. One ten and two more is twelve. Twelve comes after eleven.

    Read More

  5. 5th Grade BODMAS Rule Worksheet | PEMDAS | Order of operations|Answers

    Apr 03, 25 03:11 PM

    5th Grade BODMAS Rule Worksheet
    In 5th Grade BODMAS Rule Worksheet you will get different types of problems on mathematical expressions involving different operations, mathematical expression with 'brackets' and 'of' and simplifying…

    Read More