Jump to a New ChapterIntroduction to the SAT IIIntroduction to SAT II Math ICStrategies for SAT II Math ICMath IC FundamentalsAlgebraPlane GeometrySolid GeometryCoordinate GeometryTrigonometryFunctionsStatisticsMiscellaneous MathPractice Tests Are Your Best Friends
 7.1 Prisms 7.2 Solids That Aren’t Prisms 7.3 Relating Length, Surface Area, and Volume 7.4 Inscribed Solids

 7.5 Solids Produced by Rotating Polygons 7.6 Key Formulas 7.7 Review Questions 7.8 Explanations
Key Formulas
Length of a Diagonal of a Cube
d = = s where s is the length of one edge of the cube.
Length of a Diagonal of a Rectangular Solid
d = , where l is the length, w is the width, and h is the height of the rectangular solid.
Surface Area of a Cube
Surface Area = 6s2, where s is the length of one edge.
Surface Area of a Rectangular Solid
Surface Area = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.
Surface Area of a Cylinder
Surface Area = 2πr2 + 2πrh, where r is the radius and h is the height.
Surface Area of a Sphere
Surface Area = 4πr2, where r is the radius.
Lateral Surface Area of a Cone
Lateral Surface Area = πrl, where r is the radius of the base and l is the cone’s lateral height.
Total Surface Area of a Cone
Surface Area = πr2 + πrl, where r is the radius of the base, and l is the cone’s lateral height.
Volume of a Cube
Volume = s3, where s is the length of one edge.
Volume of a Rectangular Solid
Volume = lwh, where l is the length, w is the width, and h is the height.
Volume of a Prism
Volume = Bh, where B is the area of the base, and h is the height.
Volume of a Cylinder
Volume = πr2h, where r is the radius of the circular base and h is the cylinder’s height.
Volume of a Cone
Volume = πr2h, where r is the radius and h is the height.
Volume of a Pyramid
Volume = Bh, where B is the area of the base and h is the height.
Volume of a Sphere
Volume = πr3, where r is the radius.
 Jump to a New ChapterIntroduction to the SAT IIIntroduction to SAT II Math ICStrategies for SAT II Math ICMath IC FundamentalsAlgebraPlane GeometrySolid GeometryCoordinate GeometryTrigonometryFunctionsStatisticsMiscellaneous MathPractice Tests Are Your Best Friends
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