Mensuration - Teach.sg

Conversion

Length

$1\text{ m} = 100\text{ cm}$

Area

$1\text{ m}^2 = 10\ 000\text{ cm}^2$

Volume

$1\text{ m}^3 = 1\ 000\ 000\text{ cm}^3$

Shape	Volume	Surface Area
Cuboid	$lbh$	—
Cylinder	$\pi r^2 h$	$2\pi r^2 + 2\pi rh$
Prism	cross-sectional area $\times\, l$	—
Pyramid	$\dfrac{1}{3} \times$ base area $\times$ height	—
Cone	$\dfrac{1}{3}\pi r^2 h$	$\pi r^2 + \pi rl$
Sphere	$\dfrac{4}{3}\pi r^3$	$4\pi r^2$

$l$ = slant height for cone

In degrees:

Arc Length

$s = \dfrac{\theta}{360^\circ} \times 2\pi r$

Sector Area

$A = \dfrac{\theta}{360^\circ} \times \pi r^2$

In radians ($180^\circ = \pi$ rad):

Arc Length

$s = r\theta$

Sector Area

$A = \dfrac{1}{2}r^2\theta$