Solve 56.70m^3=33m(4m)h

$$56.70 m ^ { 3 } = 33 m ( 4 m ) h$$

Solve for h

$$\left\{\begin{matrix}\\h=\frac{189m}{440}\text{, }&\text{unconditionally}\\h\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply m and m to get m^{2}.

$$56.7m^{3}=33m^{2}\times 4h$$

Multiply 33 and 4 to get 132.

$$56.7m^{3}=132m^{2}h$$

Swap sides so that all variable terms are on the left hand side.

$$132m^{2}h=56.7m^{3}$$

The equation is in standard form.

$$132m^{2}h=\frac{567m^{3}}{10}$$

Divide both sides by 132m^{2}.

$$\frac{132m^{2}h}{132m^{2}}=\frac{567m^{3}}{10\times 132m^{2}}$$

Dividing by 132m^{2} undoes the multiplication by 132m^{2}.

$$h=\frac{567m^{3}}{10\times 132m^{2}}$$

Divide \frac{567m^{3}}{10} by 132m^{2}.

$$h=\frac{189m}{440}$$

Solve for m

$$m=0$$

$$m=\frac{440h}{189}$$