Question

@jdoe0001

Answer 1

@surjithayer

Answer 2

well... same thing as before
you'd get the area of the shapes making the figure

in this case, is a HEXAgonal pyramid
so it has 6 sides, and each is a triangle

notice, each triangular face, has a "base" of 11
and a "height" of 13.8

recall area of a triangle is 1/2 * b * h
so.. get the area of one of those triangles
and add all 6 of those areas first

Answer 3

curved surface area
\[=6\times \frac{ 1 }{ 2 }\times 11\times 13.8=?\]

Answer 4

455.4

Answer 5

after that, what's left is the area of the base
which is a regular hexagon, 6 sides

and to find the area of a regular hexagon, it's just 1/2 * apothem * perimeter

the apothem, is the distance, from a side to center of it, in this case, 9.5

Answer 6

1/2*9.5*6=28.5

Answer 7

well... the perimeter of the regular hexagon is
6 sides of 11 units long -> 6 * 11 = 66

so the area of the regular hexagon will be 1/2 * 9.5 * 66

Answer 8

\[area~of~base=6~ \times~\frac{ 1 }{ 2 }\times~11~\times9.5=?\]

Answer 9

ditto

Answer 10

313.5

Answer 11

yeap

then just add those two up, the triangle's area and the hexagonal's base :)

Answer 12

anyway 455.4 + 313.5 = 768.9

Answer 13

Thank you both!!