Answer:
168 ft²
Step-by-step explanation:
The area of the two triangular bases is ...
total base area = 2×(triangle area) = 2×(1/2)bh = (6 ft)(4 ft) = 24 ft²
The lateral area of the prism is the product of the triangle perimeter and the height of the prism.
lateral area = (6 ft + 5 ft + 5 ft)(9 ft) = 144 ft²
The surface area is the sum of the base area and the lateral area:
surface area = base area + lateral area
surface area = 24 ft² +144 ft² = 168 ft²
The surface area of the prism is 168 square feet.
