Marcos wants to paint his skateboard ramp shown below. What is the total surface area of the skateboard ramp?
The surface area of a prism is the perimeter of the base times the height, plus two times the area of the base. In this case the base is a triangle so we have a triangular prism.
surface area = ( perimeter of base ) * ( height of prism ) + 2 * ( area of base )
surface area = ( 2 ft + 1.5 ft + 2.5 ft ) * ( 10 ft ) + 2 * ( 1/2 * 2 ft * 1.5 ft )
surface area = ( 6 ft ) * ( 10 ft ) + 2 * ( 1.5 ft2 )
surface area = 60 ft2 + 3 ft2
surface area = 63 ft2