Math Geometric formulas Formulas 3D

Formulas: Surface area and volume


1) Cube:


$V=\color{red}{a}\cdot\color{red}{a}\cdot\color{red}{a}$
$A=6\color{red}{a}^2$


2) Cuboid:


$V=\color{red}{a}\cdot \color{blue}{b}\cdot \color{green}{c}$
$A=2(\color{red}{a}\color{blue}{b} + \color{red}{a}\color{green}{c} + \color{blue}{b}\color{green}{c})$


3) Pyramid:


$V=\frac{ 1 }{ 3 } \cdot A_{\text{Base}}\cdot \color{red}{h}$
$A=A_{\text{Base}}+A_{\text{Lateral}}$


4) Cylinder:


$V=\pi\cdot \color{red}{r}^2\cdot\color{green}{h}$
$A=2\pi\color{red}{r}(\color{red}{r}+\color{green}{h})$


5) Sphere:


$V=\frac{4}{3}\cdot\pi\cdot\color{red}{r}^{ 3 }$
$A=4\pi\color{red}{r}^2$


6) Cone:


$V=\frac{1}{3}\cdot\pi\cdot\color{red}{r}^{ 2 }\cdot\color{green}{h}$
$A=\pi\color{red}{r}(\color{red}{r}+\color{blue}{s})$