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

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

h uchun yechish

$$h = \frac{3}{2} = 1\frac{1}{2} = 1,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{314}{3} hosil qilish uchun \frac{1}{3} va 314 ni ko'paytirish.

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

2 daraja ko‘rsatkichini 20 ga hisoblang va 400 ni qiymatni oling.

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

2 daraja ko‘rsatkichini 12 ga hisoblang va 144 ni qiymatni oling.

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

544 olish uchun 400 va 144'ni qo'shing.

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

240 hosil qilish uchun 20 va 12 ni ko'paytirish.

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

784 olish uchun 544 va 240'ni qo'shing.

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

\frac{314}{3}\times 784 ni yagona kasrga aylantiring.

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

246176 hosil qilish uchun 314 va 784 ni ko'paytirish.

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

Ikki tarafini \frac{3}{246176} va teskari kasri \frac{246176}{3} ga ko‘paytiring.

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

123088\times \frac{3}{246176} ni yagona kasrga aylantiring.

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

369264 hosil qilish uchun 123088 va 3 ni ko'paytirish.

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

\frac{369264}{246176} ulushini 123088 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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