Question #1:
The surface area of a prism is the area of the outside of the prism, the volume is how much the inside of the container holds.
Let's find the volume and surface area of the prism given.
V = lwh
Plug in what we know:
V = (18.4)(10.9)(8.7)
Multiply:
V = 1744.872 m^3
SA = 2(wl + hl + hw)
Plug in what we know:
SA = 2((10.9)(18.4) + (8.7)(18.4) + (8.7)(10.9))
Multiply:
SA = 2(200.56 + 160.08 + 94.83)
Add:
SA = 2(455.47)
Multiply:
SA = 910.94 m^2
Now find the difference:
Note that these are different measurements.
The volume is measured in cubic meters and the surface area is measured in square meters.
910.94 m^2 = 27493.793 m^3
Find the difference:
27493.793 m^3 - 1744.872 m^3 = 25748.921
Question #2:
The formula for the surface area of a rectangular prism is:
SA = 2(wl + hl + hw)
Plug in what we know:
SA = 2((5)(6) + (3)(6) + (3)(5))
This is the equation we use to find the surface area of this figure.
Multiply:
SA = 2(30 + 18 + 15)
Add:
SA = 2(63)
Multiply:
SA = 126 cm^2
