Q:

What is the surface area of the right prism below?

Accepted Solution

A:
Answer: Surface area of the right prism =  156 square unitsStep-by-step explanation:Surface area of prism = area of 2 triangle + area of three rectanglesTo find the area of trianglesHere base b = 4 units and height h = 3 unitsArea of triangle = bh/2  = (4 * 3)/2 = 6  square units Area of 2 rectangles = 2 * 6 = 12 unitsTo find the area of rectangleslength of rectangle = 12 units, Here 3 rectangles with 3 different widthwidth1 = √(4² + 3²) = 5 unitswidth2 = 4 units and width3 = 3 unitsArea1 = Length * width1  = 12 * 5 = 60 square unitsArea1 = Length * width2  = 12 * 4 = 48square unitsArea1 = Length * width3  = 12 * 3 = 36 square unitsTotal area of three rectangles = 60 + 48 + 36 = 144To find the surface area of prismSurface area = Area of triangles + area of rectangles  = 12 + 144 = 156 square units