i have a right hexagonal prism

and i need to find the SA and the volume for it

what formula do i use?

a regualr prism formula?

thanks

my test is tomorrow in the morning

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- May 15th 2008, 09:24 PMshiloa right hexagonal prism
i have a right hexagonal prism

and i need to find the SA and the volume for it

what formula do i use?

a regualr prism formula?

thanks

my test is tomorrow in the morning - May 15th 2008, 10:05 PMTheEmptySet
Please don't bump your post. People will help if they can

The Volume is the area of the base multiplied by the height

$\displaystyle V=A_{base} \cdot h$

The area of a Regular hexagon(all sides and angles equal) with side length l is $\displaystyle A=\frac{3\sqrt{3}}{2}l^2$

The surface area is given by the formula

$\displaystyle S=2A_{base}+6lh$

where l is the side length of the hexagon and h is the height.

I hope this helps

Good luck. - May 16th 2008, 06:58 AMSoroban
Hello, shilo!

Quote:

i have a right hexagonal prism,

and i need to find the SA and the volume for it.

what formula do i use?

**not**include such a sloppy question . . .

Code:`* - *`

* A *

| * - * |

| | | |

| | | | h

| | | |

| | | |

* | | *

* - *

We know nothing about the hexagon.

We must be given its perimeter $\displaystyle P$, and its area $\displaystyle A.$

. . (or be given enough information so we can find $\displaystyle P$ and $\displaystyle A$.)

The height $\displaystyle h$ is perpendicular to the two hexagonal bases.

The surface area consists of the top and bottom: .$\displaystyle 2A$

. . and the lateral area: .$\displaystyle Ph$

Therefore, the total surface area is: .$\displaystyle \boxed{ SA \:=\:2A + Ph}$

The volume is (area of base) × (height): .$\displaystyle \boxed{V \:=\:Ah}$