JaymeBurrows
JaymeBurrows JaymeBurrows
  • 13-06-2017
  • Mathematics
contestada

Find the surface area of the regular hexagonal prism. Round your answer to the nearest hundredth.

a.528.55
b. 628.55
c.720.55
d.860.55

Find the surface area of the regular hexagonal prism Round your answer to the nearest hundredth a52855 b 62855 c72055 d86055 class=

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pingwin09
pingwin09 pingwin09
  • 13-06-2017
A single rectangle has the area of (11 mm)(8 mm) = 88 mm²
So the lateral areas which are the total number of rectangles will be 6*(88 mm²) = 528 mm²
Just recall the formula of the regular polygon, given the side of that polygon.
This hexagon has the area of (1/4)*(6)*(8²)*cot(180°/6) = 166.28 mm²
There are two bases; so 2*(166.28 mm²) = 332.55 mm²

Hence, the surface area is lateral areas + base areas:
528 mm² + 332.55 mm² = 860.55 mm² (ANSWER: d)
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