Chapter 10. Section 5
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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)