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.
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.
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
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
You might like these
-
Problems on right circular cylinder. Here we will learn how to solve different types of problems on right circular cylinder. 1. A solid, metallic, right circular cylindrical block of radius 7 cm and height 8 cm is melted and small cubes of edge 2 cm are made from it.
-
We will discuss here about the volume and surface area of Hollow Cylinder. The figure below shows a hollow cylinder. A cross section of it perpendicular to the length (or height) is the portion bounded by two concentric circles. Here, AB is the outer diameter and CD is the
-
A cylinder, whose uniform cross section perpendicular to its height (or length) is a circle, is called a right circular cylinder. A right circular cylinder has two plane faces which are circular and curved surface. A right circular cylinder is a solid generated by the
-
A solid with uniform cross section perpendicular to its length (or height) is a cylinder. The cross section may be a circle, a triangle, a square, a rectangle or a polygon. A can, a pencil, a book, a glass prism, etc., are examples of cylinders. Each one of the figures shown
-
Here we will learn how to solve the application problems on lateral surface area of a cuboid using the formula. Formula for finding the lateral surface area of a cuboid Area of a Rooms is example of cuboids. Are of the four walls of a room = sum of the four vertical
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.