If a figure has eight vertices and 12 edges, how many faces does it have?

6 faces does it have

Step-by-step explanation:

In any convex polyhedron:

let v be the number  vertices , e is the number of edges and f is the number of faces then;

             ....[1]

As per the statement:

If a figure has eight vertices and 12 edges

⇒v = 8 and e = 12

Substitute in [1] to solve for f, we have;

⇒

Subtract 6 from both sides we have;

f = 6

Therefore, 6 faces does it have

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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