Answer:
38 m^3
Step-by-step explanation:
The shape of the shed is a prism.
volume = area of base * height
The base of the prism is the front face of the shed. The height of the prism is the 2 m distance between the front base and the back base.
area of base = area of rectangle + area of triangle
The front base consists of a rectangle with length 5 m and width 3 m and a triangle with base 5 m and height 1.6 m
area of base = LW + (1/2)bh
area of base = (5 m)(3 m) + (1/2)(5 m)(1.6 m)
area of base = 15 m^2 + 4 m^2
area of base = 19 m^2
height of prism = 2 m
volume = area of base * height
volume = 19 m^2 * 2 m
volume = 38 m^3
