Final answer:
The volume of a rectangular pyramid can be found using the formula (1/3) * base area * height. By substituting the given values, we can solve for the height and find that it is 14 inches.
Step-by-step explanation:
The volume of a rectangular pyramid can be found using the formula:
Volume = (1/3) * base area * height
In this case, the base edge is 12 inches and the base length is 8 inches. To find the base area, we can use the formula:
Base area = length * width
Substituting the given values into the formulas, we have:
Base area = 8 inches * 12 inches = 96 inches2
Volume = (1/3) * 96 inches2 * height
Since the volume is given as 448 inches3, we can solve for the height:
448 inches3 = (1/3) * 96 inches2 * height
Dividing both sides of the equation by (1/3) * 96 inches2, we get:
height = 448 inches3 / ((1/3) * 96 inches2)
height = 448 inches3 / 32 inches2 = 14 inches
So, the height of the rectangular pyramid is 14 inches.