Question

find the total area of the regular pyramid
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Answer 1

hi capitana


so this a complex problem


what is this 6 ?

Answer 2

the slant area

Answer 3

slant height ,yes ?

Answer 4

*slant height

Answer 5

so do you know what figure is the base ?

Answer 6

with one side of 4

Answer 7

how many sides are there in the base ?

Answer 8

six sides


so what is the name of geometricaly corp with six sides ?

Answer 9

yes the hexagon

Answer 10

square or pentagon ? no


yes right hexagon

Answer 11

for the perimeter i got 24 and i believe 6 is to be the slant height, and the base will be 16

Answer 12

but you ned calculi again area of base

Answer 13

what is this 16 ?

Answer 14

so the base is formed by six equilateral triangle

yes ?

Answer 15

yes. i got the sixteen by multiplying the sides of the base because i figured that it would be how i would get B

Answer 16

no


you will get area of the base calciling area of an equilateral triangle and multiplie it by six

Answer 17

how you calculi area of an equilateral triangle with sides 4 ?

Answer 18

do you just multiply 4 by 3 since all sides are equal?

Answer 19

no


becasue you know that area of a triangle is equal bae time height divide 2

Answer 20

so than the height of an equlateral triangle you need calculi it

Answer 21

ok, that's where i start to get stuck, finding the height. do i need the Pythagorean theorem?

Answer 22

how you get AF using pythagora ?

Answer 23

so this is easy

Answer 24

do i use c^2=a^2+b^2?

Answer 25

c is hypothenuse and a,b sides

Answer 26

let a = AF

so than how you get AF ?

Answer 27

c^2=a^2+b^2

just subtract from both sides b^2

Answer 28

so and will get the a^2


yes but you need to calculi the a


so this mean that a= sqrt (....)


sqrt what you will get subtracting b^2 from both sides


ok ?

Answer 29

come on ,this is easy

Answer 30

a^2 = c^2 -b^2

a = sqrt(c^2 -b^2)

ok ?


so now just substitute numericaly

Answer 31

a = sqrt(16-4) =sqrt (12) = 2sqrt3

right ?