Allericzarzuelaviz
Answered

.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.

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AnneCviz
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Elijahlicodiniviz
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"