Whakaoti i te m_{n}=1/2rho_{3}bh

$$m _ { n } = \frac { 1 } { 2 } \rho _ { 3 } b h$$

Whakaoti mō b

$$\left\{\begin{matrix}b=\frac{2m_{n}}{h\rho _{3}}\text{, }&h\neq 0\text{ and }\rho _{3}\neq 0\\b\in \mathrm{R}\text{, }&\left(\rho _{3}=0\text{ or }h=0\right)\text{ and }m_{n}=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$\frac{1}{2}\rho _{3}bh=m_{n}$$

He hanga arowhānui tō te whārite.

$$\frac{h\rho _{3}}{2}b=m_{n}$$

Whakawehea ngā taha e rua ki te \frac{1}{2}\rho _{3}h.

$$\frac{2\times \frac{h\rho _{3}}{2}b}{h\rho _{3}}=\frac{2m_{n}}{h\rho _{3}}$$

Mā te whakawehe ki te \frac{1}{2}\rho _{3}h ka wetekia te whakareanga ki te \frac{1}{2}\rho _{3}h.

$$b=\frac{2m_{n}}{h\rho _{3}}$$

Whakaoti mō h

$$\left\{\begin{matrix}h=\frac{2m_{n}}{b\rho _{3}}\text{, }&b\neq 0\text{ and }\rho _{3}\neq 0\\h\in \mathrm{R}\text{, }&\left(\rho _{3}=0\text{ or }b=0\right)\text{ and }m_{n}=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$\frac{1}{2}\rho _{3}bh=m_{n}$$

He hanga arowhānui tō te whārite.

$$\frac{b\rho _{3}}{2}h=m_{n}$$

Whakawehea ngā taha e rua ki te \frac{1}{2}\rho _{3}b.

$$\frac{2\times \frac{b\rho _{3}}{2}h}{b\rho _{3}}=\frac{2m_{n}}{b\rho _{3}}$$

Mā te whakawehe ki te \frac{1}{2}\rho _{3}b ka wetekia te whakareanga ki te \frac{1}{2}\rho _{3}b.

$$h=\frac{2m_{n}}{b\rho _{3}}$$