Question

the height of a hexagonal prism is 6ft. Its base edges all equal 4ft. Find its volume

Answer 1

hmm the figures are getting harder...

Answer 2

yeah i never learned this -_- dang online school ...

Answer 3

yeahh they never teach anything..just homeworks and seatworks then quiz

Answer 4

exactly

Answer 5

The formula for calculating the volume of a hexagonal prism is to take the area of the hexagon, then multiply it by the height of the prism.

Answer 6

first thing you need to know is that the volume of prisms is always \[V = \text{base area} \times \text{height}\]so yeah you need to find the area of the hexagon first

Answer 7

Everything is in your online school's lessons by the way. Don't ask people for their answers, just go back into the lesson.

Answer 8

Volume = 1/2 * apathem * number of sides * side length * height number of sides: 6 side lengt: 4 ft height: 6 ft apthem: ? so we are missing the apathem Apathem is the segment from the center perpendicular to a side and bisect that side. so [ draw an apathem. It'll form 2 small right triangle, with the short legs of 2ft. The apathem is the long leg of one of the small triangles. Since the 2 small right triangles are special angles 30-60-90. The apthem is 2sqrt(3) Volume = 1/2 * 2sqrt(3) * 6 * 4 * 6 Volume = 249.41 ft^3
o and do i win the medal :)

Answer 9

im not asking for there answers im asking for there help ... me i need someone to explain it to me thats how i learn i know the lessons are in the online thing but i dont understand it cause i cant just look at it and figure it out everyone learns different

Answer 10

Everything was stated for you. Now you should have all the information to solve this on your own.

Answer 11

yeah i know now i understand it im not saying i dont .. I just need help thats all. Im not as smart as you buddy haha im dumb in math im not afraid to say it lol

Answer 12

Not trying to be disrespectful

Answer 13

I'm terrible with anything Science related. Sorry about the mean remark.

Answer 14

this is it
Volume = 1/2 * 2sqrt(3) * 6 * 4 * 6
Volume = 249.41 ft^3

Answer 15

Its fine @Dubstep97

Answer 16

@85295james there are no decimals here

Answer 17

in the answers

Answer 18

The hexagon has 6 sides and 6 vertices.
Label the vertices A, B, C, D, E, and F.
Draw a line from A → D, B → E, and C→ F.
The lines intersect at the center of the hexagon.
You should see 6 triangles.
The area of the hexagon = 6 * area of 1 triangle.
then multiply that by 6

Answer 19

@eAnthonyR do you remember that formula i gave you about the area of equilateral triangle?

Answer 20

s^2 one?

Answer 21

\[A = \frac{s^2 \sqrt 3}{4}\]
a hexagon is comprised of 6 equilateral triangles so area of hexagon is \[A = \frac{s^2 \sqrt 3}{4} \times 6 \implies \frac{3s^2 \sqrt 3}{2}\]
so volume is area x height so \[V = \frac{3s^2h \sqrt 3}{2}\]
does that make sense? lol

Answer 22

ok thin it =72 times sqrt 12 or it = 144 times sqrt 3

Answer 23

oh ok i got it now @lgbasallote And thanks @85295james thats what i got xD

Answer 24

lol cool. i was able to derive the formula of area of hexagon without using apothems =))

Answer 25

yeah i never learned apothems haha i never heard of it xD