The diagram shows the top view of a prism sitting upright on one of its trapezoidal bases. The height of the prism is 10 cm. What is the surface area of the prism?

5.25 cm^2

10 cm^2

52.5 cm^2

124 cm^2

Question

The diagram shows the top view of a prism sitting upright on one of its trapezoidal bases. The height of the prism is 10 cm. What is the surface area of the prism?

     
       5.25 cm^2

       10 cm^2

       52.5 cm^2

       124 cm^2

anonymous · Answer

attachment

directrix · Answer

124 cm^2

SA = LA + 2B where SA represents surface area, LA is lateral area, and B is the area of a base of the prism

LA = ph where p is the perimeter of the base and h is the height of the prism

LA =  (2 + 1.7 +5  + 2.65) * 10 = 11.35 * 10 =  113.5 square cm

2B = 2  [ (1/2) (1.5) ( 2 + 5) ] = 10.5 square cm

Note: B is a trapezoidal base. Area of trapezoid = 1/2 base height times sum of bases.

SA = 113.5 square cm + 10.5 square cm = 124 square cm