
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 = 6s^{2},
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 = 2πr^{2} +
2πrh, where r is the radius
and h is the height.
Surface Area of a Sphere
Surface Area = 4πr^{2},
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 = πr^{2} +
πrl, where r is the radius
of the base, and l is the cone’s lateral height.
Volume of a Cube
Volume = s^{3},
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 = πr^{2}h,
where r is the radius of the circular base and h is
the cylinder’s height.
Volume of a Cone
Volume = πr^{2}h,
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 = πr^{3},
where r is the radius.
