What is the surface area of the triangular prism? A triangular prism. The base is 6 feet by 9 feet. The 2 rectangular sides are 9 feet by 5 feet. The triangular sides have a base of 6 feet and height of 4 feet. square feet

  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.

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step-by-step explanation: