Answer:
4.5 m
Step-by-step explanation:
-Let a be the base lengths and h be the height, the surface area can be calculated as:
[tex]A=2a^2+4ah[/tex]
Where [tex]2a^2[/tex] is the base are:
#Substitute the known values in the formula to solve for h:
[tex]2a^2=64\times 2\\a^2=64\\\\a=8\\\\\therefore A=2a^2+4ah\\272=2\times 64+4\times 8h\\\\144=32h\\\\h=4.5[/tex]
Hence, the prism's height is 4.5 m
