Let's compute the volume of the hexagonal prism candle. That volume is
Volume = (area of base)(height)
Volume = 218
Volume = 168
The volume of the hexagonal prism candle is 168 cubic cm
So we have 250-168 = 82 cubic centimeters of wax leftover.
Let V = 82 be the volume of the triangular prism. We're given the height to be 14 so h = 14
Use V = 82 and h = 14 to find the area of the base (A)
V = Ah
82 = A14
82/14 = A*14/14
A = 5.857 ... this is approximate
The base area is about 5.857 square cm which is less than 7 square cm. So it's impossible for the base area to be 7 square cm. The area of the base must be 5.857 (approx) or smaller if we want the height to be 14 cm.
The answer to the question in the problem is simply "no" with the reasoning explained above.
