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Notes on Volume - Fundamentals of College Mathematics | MATH 120, Study notes of Mathematics

Material Type: Notes; Class: Fundamentals of College Mathematics; Subject: Mathematics; University: University of Nevada - Las Vegas; Term: Unknown 1989;

Typology: Study notes

2009/2010

Uploaded on 02/24/2010

koofers-user-9kw
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Chapter 10. Section 5
Page 1
Section 10.5 – Volume
Homework (pg 549) 1-29
Definition: Volume refers to the amount of space (in cubic units) occupied by a solid object
The only measurements of volume you will be required to memorize are
Volume of Rectangular solid = ( area of bottom ) ( height ) = ( length ) ( width ) ( height )
Volume of a Right Circular Cylinder = ( area of bottom ) ( height ) = π r2 h
The other formulas you should be able to use if needed, but do not have to be memorized
Volume of a pyramid = 1/3 ( area of base ) ( height )
Volume of a Cone = 1/3 π r2 h
Volume of a Sphere = 4/3 π r3
Definition: The area of the outer surface of a three dimensional object is call surface area. Again,
these formulas can be reasoned instead of memorized
Surface area of Box = top area + bottom area + side areas = 2lw + 2lh + 2wh
Surface area of Circular cylinder = top area + bottom area + side area = 2π r2 + 2π rh
(there is a typo in the book on this one, it doesn’t take into account the bottom area)

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Chapter 10. Section 5 Page 1

Section 10.5 – Volume

Homework (pg 549) 1-

  • Definition : Volume refers to the amount of space (in cubic units) occupied by a solid object
  • The only measurements of volume you will be required to memorize are Volume of Rectangular solid = ( area of bottom ) ( height ) = ( length ) ( width ) ( height ) Volume of a Right Circular Cylinder = ( area of bottom ) ( height ) = π r^2 h
  • The other formulas you should be able to use if needed, but do not have to be memorized Volume of a pyramid = 1/3 ( area of base ) ( height ) Volume of a Cone = 1/3 π r^2 h Volume of a Sphere = 4/3 π r^3
  • Definition : The area of the outer surface of a three dimensional object is call surface area. Again, these formulas can be reasoned instead of memorized Surface area of Box = top area + bottom area + side areas = 2 lw + 2 lh + 2 wh Surface area of Circular cylinder = top area + bottom area + side area = 2 π r^2 + 2 π rh (there is a typo in the book on this one, it doesn’t take into account the bottom area)