$$V=lwh$$
Where:
- V is the volume of the prism in cubic centimeters
- l is the length of the prism in centimeters
- w is the width of the prism in centimeters
- h is the height of the prism in centimeters
Rearranging the formula to solve for h height, we have:
$$h = \frac{V}{lw}$$
Substituting the given values, we get
$$h = \frac{200cm^3}{(4 cm) (5 cm)} = \frac{200cm^3}{20 cm^2} = 10 cm $$
Therefore, the height of the prism is 10 cm