How is the surface area of a prism determined?
1 answer:
Answer:
Option b. sum of all areas of faces
Step-by-step explanation:
we know that
The surface area of the prism is equal to the area of its bases plus the area of its four rectangular lateral faces
so
where
B is the area of the base
P is the perimeter of the base
H is the height of the prism
therefore
sum of all areas of faces
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The solution to this system is (x, y) = (8, -22).
The y-values get closer together by 2 units for each 2-unit increase in x. The difference at x=2 is 6, so we expect the difference in y-values to be zero when we increase x by 6 (from 2 to 8).
You can extend each table after the same pattern.
In table 1, x-values increase by 2 and y-values decrease by 8.
In table 2, x-values increase by 2 and y-values decrease by 6.
The attachment shows the tables extended to x=10. We note that the y-values are the same (-22) for x=8 (as we predicted above). That means the solution is ...
... (x, y) = (8, -22)
