Respuesta :
Answer:
The dimensions of prison is 8 cm.
Step-by-step explanation:
Find the value of dimensions of prism?
According to the given question we have the following information available
length=3h
height=h
width=h+2
surface area of rectangular prism=288 sq.cm
so the formula for area is
surface area =2×1×w+2×1×h+2×w×h
=2×1×2+h+2×1×h+2×2+h×h
=4+h+2h+4h×h
=4h²+3h+4
288=4h²+3h+4
4h²+3h-284=0
hence, now we got an equation and we will solve this using quadratic equation formula
b²-4ac=(3)²-4(4)(-284)
=9+4544
=4553.
x1=-3+√4553÷2×4
=8.75
x2=-3-√4553÷2×4
=8
hence, the answer cannot be in points then the correct answer is 8.
To know more about the quadratic equation visit: brainly.com/question/24342899
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