Question

. Find the surface area of the hexagonal prism if the area of the hexagonal base is 65. (3 marks)

Answer 1

what is "L"

Answer 2

\[H = \frac{ \sqrt{3} }{ 2 } \times L\]

Answer 3

L is the length of a side of a hexagon. H is the "radius"

Answer 4

you want the length of each side. so you can work out the total area. Area will be \[Area = 2 AreaOfEnd + 6AreaOfSide\]

Answer 5

but you dont know the distance to the middle, H, of the prism. so were trying to eliminate that, and obtain an expression for area, which you do know, in terms of L for side length

Answer 6

i dont get it are of side in my understanding is 15 and then there is a bunch of 5's so i times that by 6

Answer 7

oh, i didnt open the attachement

Answer 8

yes they have given you the side length of 5 for free.

Answer 9

so just use the otherformula i gave

Answer 10

Area = 2 AreaOfEnd + 6AreaOfSide

Answer 11

area of end is what 65?

Answer 12

so to get area of side 15 x 6 right?

Answer 13

your sides have the dimentions of 15 length, and 5 height

Answer 14

area of rectangle = length x height

Answer 15

you have 6 rectangles(squares) in total, so you have 6(length x height)

Answer 16

ok so what must i do with the base = to 65

Answer 17

wel you have the base and the top, they are both the same area

Answer 18

so add that area onto the area of all the sides

Answer 19

area = 6(length x height) + 2base

Answer 20

ok i think i got it now

Answer 21

great :)