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Answer 1 · 2017-07-10T14:55:14

#10.066# inches

#V=(2a^3)/17#

#17V=2a^3# (multiply both sides by #17#)

#(17V)/2=a^3# (divide both sides by #2#)

#root(3)((17V)/2)=a# (take the cube root of both sides)

#a=root(3)((17V)/2)#

To find the edge length #a#, substitute #120# for #V#.

#a=root(3)((17*120)/2)#

#a=root(3)(1020) ~~ 10.066# inches

Answer 2 · 2017-07-10T14:59:17

#a=root(3)(17V/2)#

#V=(2a^3)/17#
#17V=2a^3#
#17V/2=a^3#
#a=root(3)(17V/2)#

#a=root(3)(17*120/2)#
#a=root(3)(17*60)#
#a=root(3)(17*60)#
#a=root(3)(1020)#
#a=10.0552271...#
#a~~10# inches