Answer:
144 units²
Step-by-step explanation:
We can see this shape is made of 2 shapes that we are familiar with 3 rectangle's and 2 triangles. In order to work out the surface of the prism we need to know how to work out the area of a rectangle and a triangle.
→ Area of triangle = 0.5 × Base × Height
→ Area of rectangle = Length × Width
First let's work out the area of the triangle and then double it to find the added area of the 2 triangle's
Area of triangle = 0.5 × Base × Height
→ Substitute in the values
Area of triangle = 0.5 × 4 × 3
→ Simplify
Area of triangle = 6
Then double this value to find the combined value of the 2 triangle's
6 × 2 = 12
Now the area of the large rectangle
Area of rectangle = Length × Width
→ Substitute in the values
Area of rectangle = 11 × 5
→ Simplify
Area of rectangle = 55
Now the area of the medium rectangle
Area of rectangle = Length × Width
→ Substitute in the values
Area of rectangle = 11 × 4
→ Simplify
Area of rectangle = 44
Now the area of the small rectangle
Area of rectangle = Length × Width
→ Substitute in the values
Area of rectangle = 11 × 3
→ Simplify
Area of rectangle = 33
Now we add all the area's together,
33 + 44 + 55 + 12 = 144
