Question

Find the lateral area, total area, and volume of the solid figure. Leave answer in exact form.

Answer 1

https://media.glynlyon.com/a_matgeo_2011/7/groupi94.gif

Answer 2

its a messy answer and I can't get it...

Answer 3

I have an answer for everything except the volume, but who knows if my other answers were right.

Answer 4

To get the lateral area, use Heron's formula.

Answer 5

Heron forumla? 1/2 times side times slant height?

Answer 6

no that's the regular area formula.

Answer 7

then whats heron's formula?

Answer 8

It was something like:
A=sqrt(p(p-a)(p-b)(p-c)), where p=perimeter/2

Answer 9

the lateral area can be found front this formula right? 1/2xperimeterxslant height?

Answer 10

cause thats the one my book gives me.

Answer 11

I think you're better off using the one given in the book, I just use Heron's formula because I can't memorize any others.

Answer 12

Lol well heron's looks like a mess of letters to me...
So i calculated SL to be \[2\sqrt{3}\] which would give me the equation \[.5\times4\times2\sqrt{3}\] which gives me \[4\sqrt{3}\] right?

Answer 13

Let me check, I have no idea how you found that, but if I get the same thing using the Heron's formula, you're right.

Answer 14

sounds good lol

Answer 15

just the lateral area, so everything except the base

Answer 16

Ok:
So, we need to find the area of the 3 sides (base would be the fourth one)

Answer 17

OKay i have to go to work, thank you so much for your help, I'll get back on in a little bit i think....

Answer 18

Area of one side:
p = (4+4+4)/2=12/2=6
A=sqrt(6(6-4)(6-4)(6-4))=sqrt(6*2*2*2)=sqrt(3*2*2*2*2)=4sqrt(3)

Answer 19

Since there are three sides, total lateral area is:
12sqrt(3)