What is the area of a hexagonal prism with a side length of 11, a height of 20, and apothem of 9.5? Note: Answer must not be fra

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N76 [4]

3 years ago

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What is the area of a hexagonal prism with a side length of 11, a height of 20, and apothem of 9.5? Note: Answer must not be fra

ction or decimal

Mathematics

1 answer:

katrin [286] · Answer 1 · 2021-12-29T17:10:26+03:00

I assume the solid is a "regular hexagonal prism", by which it means that the cross section is a regular hexagon with all sides and angles equal.
Also, the exact apothem is 9.5262... but we will adopt the given value of 9.5.

First lateral surface area
A1=6*side length*height=6*11*20=1320 units
Then the end areas
A2=2 faces * 6 triangles/face * [base * height (apothem) /2]
=2*6*11*9.5/2
=627 units

Total area=1320+627=1947 units