Find the value of x if the right prism has a volume of 24 m^3
February 20th, 2023
Without any indication of how ##x## relates to the right prism, this question can not be answered.
Based on the diagram I assume the “right prism” is a triangular right prism.
In this case if the sides of the triangular surface are ##a,b, and c##
and the height of the prism is ##h##
then the volume of the prism would be:
##color(white)(“XXX”)”Volume”=24m^3=hxx”Area”_triangle##
##color(white)(“XXX”)##where ##”Area”_triangle = sqrt(s(s-a)(s-b)(s-c))## with ##s=(a+b+c)/2##
If ##x## is one of ##a, b, c, h## and the other 3 values are given, we could plug the values into this relation to determine the value of ##x##