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

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

Solve for h

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

Steps for Solving Linear Equation

Multiply \frac{1}{3} and 314 to get \frac{314}{3}.

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

Calculate 20 to the power of 2 and get 400.

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

Calculate 12 to the power of 2 and get 144.

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

Add 400 and 144 to get 544.

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

Multiply 20 and 12 to get 240.

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

Add 544 and 240 to get 784.

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

Express \frac{314}{3}\times 784 as a single fraction.

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

Multiply 314 and 784 to get 246176.

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

Multiply both sides by \frac{3}{246176}, the reciprocal of \frac{246176}{3}.

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

Express 123088\times \frac{3}{246176} as a single fraction.

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

Multiply 123088 and 3 to get 369264.

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

Reduce the fraction \frac{369264}{246176} to lowest terms by extracting and canceling out 123088.

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