Hi all,
Well, as you can probably see from the number of posts I've made I'm a bit new here. I'm not a student and my background in math is a bit weak, what I need is a bit more than a tutor...I need a solution. Is that done here or is that against all the rules? I'm using the volume formula for a frustum pyramid and it gives me accurate answers (as it should)... :lol:
V= h/3(A1+A2+SqRt(A1*A2))
Where:
h=height
A1=Area of Large Base
A2=Area of Small Base
What I need is a formula that will give me B1 if I know the Volume, Height, and Slope...
Givens:
V= 1,007,436.00
h= 12.00
s= 3.00 {s= slope of 3:1 or 71.56505}
Solve for:
A1= 105,625.00 {large base}
b1= 325.00 {large base side} (A1^0.5) or sqrt(A1)
with an option for;
A2= 64,009.00 {small base}
b2= 253.00 {small base side} (A2^0.5) or sqrt(A2)
If it makes a difference when the formula is built...once I have solved for A1, I can take the sqrt of it to find the lenght of b1 sides. Then, I want to be able to make it rectangular by using a smaller width than the calculated side and specify the length by dividing A1 by the width, while keeping the same volume that was specified for the original calculation. This make sense to anyone or have I confused the entire issue...? I've been informed that this requires a quadratic formula which puts it way above my head.
I don't really need to know A2 and b2 but it would give me a way to cross check the validity of what I'm doing. I draw these as solids in AutoCAD so it's not a problem to check the volume once the object is drawn.
Any and all help you can give me on this solution will be greatly appreciated and I thank you for taking time out to help.
Well, as you can probably see from the number of posts I've made I'm a bit new here. I'm not a student and my background in math is a bit weak, what I need is a bit more than a tutor...I need a solution. Is that done here or is that against all the rules? I'm using the volume formula for a frustum pyramid and it gives me accurate answers (as it should)... :lol:
V= h/3(A1+A2+SqRt(A1*A2))
Where:
h=height
A1=Area of Large Base
A2=Area of Small Base
What I need is a formula that will give me B1 if I know the Volume, Height, and Slope...
Givens:
V= 1,007,436.00
h= 12.00
s= 3.00 {s= slope of 3:1 or 71.56505}
Solve for:
A1= 105,625.00 {large base}
b1= 325.00 {large base side} (A1^0.5) or sqrt(A1)
with an option for;
A2= 64,009.00 {small base}
b2= 253.00 {small base side} (A2^0.5) or sqrt(A2)
If it makes a difference when the formula is built...once I have solved for A1, I can take the sqrt of it to find the lenght of b1 sides. Then, I want to be able to make it rectangular by using a smaller width than the calculated side and specify the length by dividing A1 by the width, while keeping the same volume that was specified for the original calculation. This make sense to anyone or have I confused the entire issue...? I've been informed that this requires a quadratic formula which puts it way above my head.
I don't really need to know A2 and b2 but it would give me a way to cross check the validity of what I'm doing. I draw these as solids in AutoCAD so it's not a problem to check the volume once the object is drawn.
Any and all help you can give me on this solution will be greatly appreciated and I thank you for taking time out to help.