Question

Find the total area (in terms of K) of the prism. Place "K" last in your formula.
Perimeter = 20
apothem = k
height = 6

Answer 1

@rebeccaxhawaii

Answer 2

@jomc4

Answer 3

do you have a formula?

Answer 4

that is actually what I wanted to know
the formula that they gave is a long process and I get confused halfway through

Answer 5

first they used the Pythagorean theorem to get a which becomes a = rad 52 or 2 rad 13
then to find the front face they used the formula A = (w)(h) = 2 rad 13 times = 16 rad 13
to find the left face they used the formula A = (d)(h) = 4 times 8 = 32
to find the back face they used the formula A = (d)(h) = 6 times 8 = 48
to find the lateral area they used the formula:
Lateral area = front face area + left face area + back face area
Lateral area = 16 rad 3 + 32 + 48
Lateral area = 80 + 16 rad 3

Answer 6

@mathmale

Answer 7

sorry wrong equation

Answer 8

but I need help on that one too

Answer 9

here is the equation for the first one:

P = 20
w = 4
because to find the width of a pentagonal prism you divide the perimeter by the number of sides right?
apothem = K

A = (w)(h)
A = (4)(6)
A = 24

LA = 5(24) - area times the number of sides of the prism
LA = 120

A = 1/2ap
A = 1/2 (k)(20)
A = 10k

Total Area = Lateral area + top area + bottom area
TA = 120 + 10k + 10k
TA = 120 + 20k

Answer 10

@pooja195

Answer 11

@mathmath333
@YanaSidlinskiy
@inkyvoyd

Answer 12

@Compassionate
@jigglypuff314

Answer 13

@King.Void.

Answer 14

@freckles
@Directrix

Answer 15

what kind of prism is this

Answer 16

pentagonal

Answer 17

u need total surface area ?

Answer 18

yup but I have to leave the answer in terms of K

Answer 19

the perimeter given is perimeter of the prism or the perimeter of the base

Answer 20

perimeter of the base I believe

Answer 21

I am going to eat brb in like 10 minutes

Answer 22

area of pentagonal prism

=5 (apothem *base+ base*height )

apothem=k

base=perimeter/5

height=6

Answer 23

I got 750k is that what I was suppose to get?

Answer 24

@jim_thompson5910

Answer 25

This is a pentagonal prism, so each side is

s = perimeter/n
s = 20/5
s = 4

each side is 4 units long

---------------------------------------------

imagine we have this pentagon

Answer 26

each side is 4 units long

Answer 27

cut the pentagon into 5 equal triangular pieces

Answer 28

the apothem is unknown (k)

Answer 29

pull out one of the triangles