Answer:
To find the volume of the prism with dimensions of 24 ft, 20 ft, and 30 ft, we can use the formula for the volume of a prism:
V = A1 + A2 + A3 * h
where A1, A2, and A3 are the areas of the base and the three rectangular sides, and h is the height of the prism.
Given the dimensions, we can calculate the areas as follows:
Area of the base triangle:
A1 = (1/2) * base * height = (1/2) * 24 ft * 20 ft = 240 sq ft
Area of the first rectangular side:
A2 = length * height = 24 ft * 20 ft = 480 sq ft
Area of the second rectangular side:
A3 = length * height = 30 ft * 20 ft = 600 sq ft
Now, we can find the volume using the formula:
V = A1 + A2 + A3 * height
V = 240 sq ft + 480 sq ft + 600 sq ft * 30 ft
V = 240 sq ft + 480 sq ft + 18,000 cubic ft
V = 18,720 cubic ft
Therefore, the volume of the prism with dimensions 24 ft, 20 ft, and 30 ft is 18,720 cubic feet.
