Final answer:
To find the height of the rectangular pyramid, use the formula V = (1/3) * (base area) * height. Substitute the given values and solve for height.
Step-by-step explanation:
To find the height of the rectangular pyramid, we need to use the formula for the volume of a pyramid: V = (1/3) * (base area) * height.
Given that the length of the rectangular base is 9 units and the width is 13 units, we can calculate the base area as 9 * 13 = 117 units².
Substituting the volume of 507 units³ and the base area of 117 units² into the formula, we can solve for the height: 507 = (1/3) * 117 * height. Solving for height gives us:
height = (507 * 3) / 117 = 13 units.