Key Formulas
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.
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