Archive for the 'area formulas' Category

Evaluate the integral by using area formulas from geometry?

integral from 1/2 to 1 of √(1-(x^2))
i can’t figure this one out.
i would like to avoid plotting but yes this is the way i am asked to do this. otherwise i know how to do it
You cannot integrate by power rule. You would have to use trig substitution.
However, what the teacher wants is for you [...]

Is there any site where I can find proofs of various polygon area formulas?

Like triangle, parallelogram etc. It would be good if everything was on the same page
Wikipedia usually explains how the formulae are achieved. I haven’t searched much.
I mean some are obvious: triangle, rectangle/parallelogram, regular penta/hexa/octogon.

How to rewrite area formulas?

So I have no idea how to get the normal formula for area of a triangle (a=1/2xbxh) into a formula so that the missing variable wouldn’t be area, it would be the base. So the formula should start with b= not a=. How do I do this?
a = (1/2)bh
b = a/([1/2]h)
b = 2a/h
Answer: b = [...]

Volume, and Surface Area Formulas..Best Answer 10 Points?

I have a math test tommorow. I know this is easy for lots of you, but i’m in grade 8 and i am struggling in math. I need to know the following.
Surface Area of Prisms (ALL)
Surface Area of a Cylinder
Volume of Cylinder
Surface Area of Composite Solids
Volume of Composite Solids
I need the formulas for these. Thanks [...]

What is the easiest way to remember formulas for surface area/volume?

I need tips for this, I’ve got an EOG tomorrow!
I figured out a pattern
I put them in this order:
Prism : 2B+Ph
(Prism is the only formula that does not haveπ )
Cylinder: 2πr^2+2πrh
(both sides of the plus sign include 2πr, they just end different)
(Prism and cylinder formulas both end in h)
Pyramid: B+1/2 Pl
(Pyramid is half of a [...]

Which of these shows how the formulas for the area of a circle and the volume of a cylinder are related?

A)The volume of a cylinder equals the area of its base divided by its height.
B)The volume of a cylinder equals the area of its base multiplied by the radius of the base.
C)The volume of a cylinder equals the area of its base multiplied by the height of the cylinder.
C
when you have doubt,please check the units.
for [...]

How to remeber surface area, lateral area, and volume formulas?

My final exam is coming up and this is but one section of the final. What are some easy or simple ways to think about finding lateral areas, surface areas, and volume? I know the formulas, but what I mean is how would I think about them. For surface area I think [...]

what are the formulas for surface area and volume of a cube?

the length, width, and height is 8.
surface area = 6*length^2
volume = length^3

Can you give me 5 facts about Volume and Surface Area formulas?

I need 5. Just little facts.
This is for a math project.
Do not give me the formulas.
Thank you.
i just know one formula
of volume is l^3
and the surface is 6 a^2
volume have 3 sides

What are the formulas for area 4 theses shapes: Parallelogram, Triangle, Rectangle, Square, Trapezoid, Circle?

Thats all.
parallelogram: area=b x h , b=length of base,h=height of perpendicular
triangle: area=1/2 a x b, a=length of base, length of perpendicular
rectangle: area=l x w,l=length ,w=width
square: area=(one side)^2
trapezoid: area=1/2(b1+b2) x h, b1=one base,b2=2nd base,h=height of perpendicular
circle: area=pi r^2 , pi=constant=22/7,r=radius of circle