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**JunPark****Member**- Registered: 2020-06-30
- Posts: 4

Hello I need help if my answers are on the right track.

I have 6 questions in total but I would appreciate if you can check my answers to my work.

1. Find the area of a regular hexagon with 8 feet sides. Round the answers to the nearest whole number.

- Show your work using the triangle method.

CA = 360 / 6 = 60

2sa + 60 = 180

2sa = 120

sa = 60

8 * (1/2) * root 3 = 4 * root3

(1/2) * 8 * (4 * root3) = 16 * root3

6 * 16 * root3 = 96 * root3

166.277 sq ft.

round = 166 sqft

Part 2: Find the area of the same hexagon using two trapezoids. Confirm that the answers to Part 1 and Part 2 are equivalent.

( 1 / 2 ) times 4 root 3 ( 8 + 16 ) = 48 root 3 = 83

83 times 2 = 166

A = 166 ft ^2

Part 3: Construct a prism from the above regular hexagon. The height of the hexagonal prism is 5 feet. Find the surface area and the volume of this prism.

5 times 168 = 840

V = 840 ft ^ 3

8 times 5 = 40

40 times 6 = 240

168 times 2 + 240 = 576

Sa = 576 sqft ^2

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**Bob****Administrator**- Registered: 2010-06-20
- Posts: 8,931

hi JunPark

Welcome to the forum.

First two parts look good to me.

Then this:

168 times 2 + 240 = 576

That should be 166 not 168. I would suggest you go back to the un-rounded value, then x2, then round off again, to preserve maximum accuracy.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Sometimes I deliberately make mistakes, just to test you! …………….Bob

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