# .In a regular hexagonal prism, the ratio of an edge of the base to the height of the prism is 1:5 .find the the volume of the prism if the lateral area is 270cm².

2
by allericzarzuela

2014-05-12T21:09:24+08:00

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Hope you can read the photo.
2014-05-13T09:21:39+08:00

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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"