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Let x be the edge and let h be the height of the prism lateral area=270 square cm lateral area= h(x)(6) ratio:1:5 so x/h =1/5 x=h/5 ,h=5x 270=h(x=h/5)(6) so h=15 270=(h=5x)(x)(6) so x=3 volume=area of the base(height of theprism) v=3squaresin60(6) /2 (15) so the volume is equal to" 350.7 cubic cm"