Answer: 8.5
Explanation:
To solve this problem, we need to know the formula for the volume of a right triangular prism, which is:
V = 1/2 * b * h * H
where:
b = the base of the triangle
h = the height of the triangle
H = the height of the prism
We are given that the volume of the prism is 91.8 ft^3 and the height of the prism is 10.8 ft. We can plug these values into the formula and solve for the base area.
91.8 = 1/2 * b * h * 10.8
Dividing both sides by 5.4, we get:
17 = b * h
Now we need to find the area of the base, which is equal to 1/2 * b * h. We can substitute the value we just found for b * h:
A = 1/2 * 17
A = 8.5
Therefore, the area of each base is 8.5 ft^2.
Answer: 8.5