Answer:
Surface area of the right prism = 156 square units
Step-by-step explanation:
Surface area of prism = area of 2 triangle + area of three rectangles
To find the area of triangles
Here base b = 4 units and height h = 3 units
Area of triangle = bh/2
= (4 * 3)/2 = 6 square units
Area of 2 rectangles = 2 * 6 = 12 units
To find the area of rectangles
length of rectangle = 12 units,
Here 3 rectangles with 3 different width
width1 = √(4² + 3²) = 5 units
width2 = 4 units and width3 = 3 units
Area1 = Length * width1
= 12 * 5 = 60 square units
Area1 = Length * width2
= 12 * 4 = 48square units
Area1 = Length * width3
= 12 * 3 = 36 square units
Total area of three rectangles = 60 + 48 + 36 = 144
To find the surface area of prism
Surface area = Area of triangles + area of rectangles
= 12 + 144 = 156 square units
