Whakaoti i te 1/3*314*h[(20)^2+(12)^2+20*12]=123088

$$\frac { 1 } { 3 } \times 314 \times h [ ( 20 ) ^ { 2 } + ( 12 ) ^ { 2 } + 20 \times 12 ] = 123088$$

Whakaoti mō h

$$h = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te \frac{1}{3} ki te 314, ka \frac{314}{3}.

$$\frac{314}{3}h\left(20^{2}+12^{2}+20\times 12\right)=123088$$

Tātaihia te 20 mā te pū o 2, kia riro ko 400.

$$\frac{314}{3}h\left(400+12^{2}+20\times 12\right)=123088$$

Tātaihia te 12 mā te pū o 2, kia riro ko 144.

$$\frac{314}{3}h\left(400+144+20\times 12\right)=123088$$

Tāpirihia te 400 ki te 144, ka 544.

$$\frac{314}{3}h\left(544+20\times 12\right)=123088$$

Whakareatia te 20 ki te 12, ka 240.

$$\frac{314}{3}h\left(544+240\right)=123088$$

Tāpirihia te 544 ki te 240, ka 784.

$$\frac{314}{3}h\times 784=123088$$

Tuhia te \frac{314}{3}\times 784 hei hautanga kotahi.

$$\frac{314\times 784}{3}h=123088$$

Whakareatia te 314 ki te 784, ka 246176.

$$\frac{246176}{3}h=123088$$

Me whakarea ngā taha e rua ki te \frac{3}{246176}, te tau utu o \frac{246176}{3}.

$$h=123088\times \frac{3}{246176}$$

Tuhia te 123088\times \frac{3}{246176} hei hautanga kotahi.

$$h=\frac{123088\times 3}{246176}$$

Whakareatia te 123088 ki te 3, ka 369264.

$$h=\frac{369264}{246176}$$

Whakahekea te hautanga \frac{369264}{246176} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 123088.

$$h=\frac{3}{2}$$