Table of Contents
Volume and Surface Area
Volume and Surface Area Formulas
Volume of a Cube
The volume of a cube is given by:
\[
\text{Volume} = a^3
\]
Surface Area of a Cube
The surface area of a cube is given by:
\[
\text{Surface Area} = 6a^2
\]
Volume of a Rectangular Prism (Cuboid)
The volume of a rectangular prism is given by:
\[
\text{Volume} = l \times w \times h
\]
Surface Area of a Rectangular Prism (Cuboid)
The surface area of a rectangular prism is given by:
\[
\text{Surface Area} = 2(lw + lh + wh)
\]
Volume of a Cylinder
The volume of a cylinder is given by:
\[
\text{Volume} = \pi r^2 h
\]
Surface Area of a Cylinder
The surface area of a cylinder is given by:
\[
\text{Surface Area} = 2\pi r (r + h)
\]
Volume of a Sphere
The volume of a sphere is given by:
\[
\text{Volume} = \frac{4}{3} \pi r^3
\]
Surface Area of a Sphere
The surface area of a sphere is given by:
\[
\text{Surface Area} = 4\pi r^2
\]
Volume of a Cone
The volume of a cone is given by:
\[
\text{Volume} = \frac{1}{3} \pi r^2 h
\]
Surface Area of a Cone
The surface area of a cone is given by:
\[
\text{Surface Area} = \pi r (r + l)
\]
where \( l \) is the slant height of the cone.