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What is surface area and lateral surface area? What's the difference and how do you find them?

2007-06-13 16:48:47 · 3 answers · asked by Thang L 1 in Science & Mathematics Mathematics

3 answers

Lateral surface is the area of one of the "sides" or faces of the solid.

Surface area is the sum of the areas of all of the faces.

How you find them depends on what type of a shape we are dealing with (rectangular prism, triangular prism, pyramid, etc), so I can't very well answer that without more details -- or making a blind guess as to which you are interested in.

2007-06-13 16:54:52 · answer #1 · answered by math guy 6 · 0 0

Lateral Surface Area (L.S.A) of a solid is the sum of the areas of all sides except the base & the top.This is known as the surface area of solids having flat sides.like a Prism, cube, cuboid

L.S.A. = perimeter of the base or cross-section * height of the solid = p*h. Sq.Units

Total Surface Area (T.S.A) is the lateral surface area of the solid + the area of its top & base.

T.S.A. = L.S.A. + 2 A or p*h + 2A Sq.Units

Curved Surface Area is the area of the curved figures like Circular Cylinder, Cone & spere.

CSA of a cyliner = 2 pi* r * h sq.units
Total CSA = CSA + 2 pi* r^2 or 2* pi* (r+h) Sq.Units

CSA of a Cone = pi* r* l ( where 'l' is the slant height) Sq.Units

TSA of a cone = pi*r*l + pi.r^2 or pi *r * (r + l)
Sq.Units

TOTAL CSA of a Sphere = 4 * pi * r^2 sq. units.

Hope this helps to understand the concept.

2007-06-14 02:44:43 · answer #2 · answered by Anonymous · 1 0

http://www.andrews.edu/~calkins/math/webtexts/geom10.htm

2007-06-13 23:55:58 · answer #3 · answered by avengress 4 · 0 0

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