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Surface Area and Volume Handbook

The document defines the formulas for calculating the surface area and volume of various geometric shapes including cubes, rectangular prisms, right circular cylinders, right circular cones, spheres, and pyramids. For each shape, it provides the equation for surface area and volume in terms of variables like side length, radius, height, perimeter, and base area.

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Oktavianaalf
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332 views3 pages

Surface Area and Volume Handbook

The document defines the formulas for calculating the surface area and volume of various geometric shapes including cubes, rectangular prisms, right circular cylinders, right circular cones, spheres, and pyramids. For each shape, it provides the equation for surface area and volume in terms of variables like side length, radius, height, perimeter, and base area.

Uploaded by

Oktavianaalf
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Surface Area and Volume

Cube

2
Surface Area = 6S

3
Volume = S
S

Rectangular Prism

Surface Area = 2LW + 2HW + 2LH


H

W Volume = LWH
L

General Prisms

Surface Area = Sum of the areas of the faces.

H Volume = Area of base times height.

Base

Base
Math-Aids.Com
Surface Area and Volume

Right Circular Cylinder

2
Surface Area = ( 2 ~
|| r ) + (~
| | 2r H )
H
r Volume = ~| | r2 H

Right Circular Cone

2
Surface Area = ( ~
|| r s ) + (~
|| r )
s
H Volume = _13 ~| | r2 H
r

Sphere

2
Surface Area = 4 ~
|| r

Volume = _43 ~| | r3
r

Math-Aids.Com
Surface Area and Volume

Types of Pyramids
There are many types of Pyramids, and they are named after the shape of their base.

The general equations for Surface Area and Volume of Pyramids when all
side faces are the same:

Slant Surface Area = [Base Area] + Perimeter


________
x [Slant Length]
Height 2
Length

Volume = 1_3 x [Base Area] x Height

Base Perimeter

s Triangular Pyramid - Triangle Base


H
Surface Area = _12 p h + _32 p s
p Volume = _16 p h H
h

Square Pyramid - Square Base


s
H 2
Surface Area = p + 2p s

Volume = _13 p H
2
p

Math-Aids.Com

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