Step-by-step explanation:
Let's do the volume first. Volume of any prism is the area of the base times the height.
V = Ah
The base is a large square with a smaller rectangle cut from the corner, so its area is:
A = (14)(14) - (7)(10)
A = 126
So the volume is:
V = (126)(6)
V = 756 m^3
Now the surface area of a prism is the area of the bases plus the base perimeter times the height:
S = 2A + Ph
We already found the area of the base. Now we just have to add the perimeter times height.
S = 2(126) + (14 + 14 +7 + 10 + 7)(6)
S = 480 m^2
