SOLUTION: I need help in figuring out how to solve this problem. It is very confusing to me. I'd like to know how to work it out. Find the area of a regular octagon with side length 5cm

Question 47531: I need help in figuring out how to solve this problem. It is very confusing to me. I'd like to know how to work it out.
Find the area of a regular octagon with side length 5cm and apothem 6cm.
Find the volume of a square pyramid with height 12cm and slant height 15cm.
Please help!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the area of a regular octagon with side length 5cm and apothem 6cm.
Connect the center to each of the vertices thus forming eight triangles.
The area of one of these triangles = (1/2)5*6= 15 cm^2
The area of the octagon = 8(15)=120 cm^2
=============================================

Find the volume of a square pyramid with height 12cm and slant height 15cm.
Draw a right triangle with slant height as the hypotenuse and height as
one of the sides. The base will be sqrt(15^2-12^2)= 9 cm
Then the diagonal of the base of the pyramid will be 18 cm
Find the side of the base of the pyramid as side^2 + side^2=18^2
2side^2=324
side= sqrt(162) and area of base= 162 cm^2
Then Volume= (1/3)Base*height
=(1/3)(162)12= 648 cm^3
Cheers,
Stan H.

RELATED QUESTIONS
a 3% salt solution is mixed with a 9% salt solution. how many grams of the 9% salt... (answered by ankor@dixie-net.com,MathTherapy)

This is im my 8th grade homework and i need help figuring it out how to do the... (answered by anne)

I need help in figuring out how to do this problem and showing my work.... (answered by JBarnum)

I need help figuring out this trigonometry problem. Fin,d to the nearest degree, all... (answered by stanbon)

Hi there hows it going? I was wondering if you would be able to assist me please. I am... (answered by edjones)

solve: 4-x=7-3x I would really like some help to know how to work out this... (answered by Alan3354)

I submitted this question earlier but there was a typo I apologize to whoever read it.... (answered by jim_thompson5910)

Very confused on taking antiderivatives. In my class I am not allowed to use integrals,... (answered by Alan3354,stanbon)

Hi I hope you can help. My question is 5(2x-1)=4(4-x) I know the answer to this but I... (answered by stanbon)