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{ { 0 { { { { " " d " " Surface Area and Volume of right solids with regular bases
Surface Area: The measure of how much exposed area a solid object has, expressed in square units.
Volume: How much three-dimensional space a shape occupies or contains, expressed in cubic units.
These formulas apply to right solids. If the solid is oblique it is much more difficult to find the SA and V. If the base is not regular these formulas apply but the LA is more difficult to find. You have to find the area of each face separately and add them together. Right prism with base
regular polygon
Surface Area = LA + 2 BA
Volume = BA * hBA = base area
LA = lateral area = perimeter base*h
h = heightNote: If the prism is rectangular then:
V = EMBED Equation.DSMT4 Note: If the prism is a cube then:
SA = EMBED Equation.DSMT4 and V = EMBED Equation.DSMT4 Right Pyramid with base regular polygon
SA = LA + BA
Volume = EMBED Equation.DSMT4 BA * h
BA = base area
LA=lateral area = EMBED Equation.DSMT4
h = height
EMBED Equation.DSMT4 = slant heightRight Cylinder
Surface Area = 2 BA + LA
Volume = EMBED Equation.DSMT4
BA = base area = EMBED Equation.DSMT4
LA = lateral area = EMBED Equation.DSMT4
r = radius of base
h = heightRight Cone
Surface Area = LA + BA
Volume = EMBED Equation.DSMT4 BA = base area = EMBED Equation.DSMT4
LA= lateral area = EMBED Equation.DSMT4
r = radius
EMBED Equation.DSMT4 = slant height
h = heightSphere
Surface Area = EMBED Equation.DSMT4
Volume = EMBED Equation.DSMT4 r = radius
2010 Board of Regents University of Nebraska
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