Answer:
13 meters.
Explanation:
We can use the formula for the volume of a rectangular prism, which is:
Volume = length x width x height
We are given that the base area (length x width) of the prism is 54 m², so we can write:
length x width = 54 m²
We are also given that the volume of the prism is 702 m³, so we can write:
Volume = length x width x height = 702 m³
We want to find the height of the prism, so we can rearrange the formula for the volume to solve for height:
height = Volume / (length x width)
Substituting the given values, we get:
height = 702 m³ / 54 m²
Simplifying this expression, we can divide both the numerator and the denominator by the greatest common factor of 54 and 702, which is 18:
height = (702/18) m / (54/18) m = 39 m / 3 m
height = 13 meters
Therefore, the height of the rectangular prism is 13 meters.