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Mathematics 19 Online
OpenStudy (mythorius):

http://prntscr.com/ar29a5 PLEASE HELP

Directrix (directrix):

The formula for the total area of the regular hexagonal pyramid is this: TA = 1/2 * p * L + B where p is the perimeter of the hexagonal base, L is the slant height, and B is the area of the hexagonal base.

OpenStudy (mythorius):

So TA = 1/2 * 16 * 6 + 4?

Directrix (directrix):

No. The base is a hexagon with 6 sides, each of length 4. The perimeter of the base is not 16. Try again for the perimeter of the base.

OpenStudy (mythorius):

24

OpenStudy (mythorius):

I gotta go, I'll be back tomorrow morning at about 9 a.m PST.

Directrix (directrix):

TA = 1/2 * 24 * 6 + B The area of the base is not 4.

OpenStudy (mythorius):

I'll be back tomorrow, gtg

Directrix (directrix):

Okay.

OpenStudy (mythorius):

Hey, I'm back

OpenStudy (haleyelizabeth2017):

The area of a hexagonal shape can be found with the following formula:\[Area=\frac{3\sqrt{3}}{2}a^2\]Where a is the side length.|dw:1460480909206:dw|

OpenStudy (haleyelizabeth2017):

And 24 is correct for the perimeter.

OpenStudy (haleyelizabeth2017):

\[Area=\frac{3\sqrt{3}}{2}(4)^2\] Think you can solve for the area?

OpenStudy (mythorius):

41.57

OpenStudy (haleyelizabeth2017):

Correct. \[TA = \frac{1}{2} \times (24) \times (6) + (41.57)\]

OpenStudy (mythorius):

2993.04

OpenStudy (haleyelizabeth2017):

That looks right (:

OpenStudy (mythorius):

@Mehek14 can you help finish this?

OpenStudy (mythorius):

@ganeshie8

OpenStudy (mythorius):

@welshfella Can you help?

OpenStudy (mythorius):

I just need the equation for the answer, we've got everything else I think.

OpenStudy (welshfella):

the area for the base is correct 41.57 and the area of the 6 triangular sides = 1/2 * 24 * 6 = 72

OpenStudy (welshfella):

just add these 2 togther

OpenStudy (welshfella):

oh it looks like they want an exact answer in surd form

OpenStudy (haleyelizabeth2017):

Oh shoot, we multiplied the area of the base rather than added it.

OpenStudy (welshfella):

the area of the base = 24sqrt3 so total area = 72 + 24 sqrt3

OpenStudy (welshfella):

yea ADD not multiply

OpenStudy (mythorius):

Tysm Welsh

OpenStudy (welshfella):

yw

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