Area List » area formulas

can somebody tell me the formulas for all shapes for volume and area ?

admin — Sat, 19 Jun 2010 11:38:25 +0000

i have my final GCSE maths exams next week and i am still struggling with formulas, can anybody tell me the exact formulas for all the shapes for example the formula for volume and area for a cylinder, if that makes any sense

Area Perimeter
Rectangle length*height 2length+2height
Triangle 1/2 base*height a+b+c
Circle pie*r² 2*pie*r
Parallelogram Breath*Height 2b*2h
Trapezoid (a+b/2)*Height a+b+c+d

Surface area Volume
rectangular prism length*width*height 2(width*height)+2(width*length)+2(length*height)
Cylinder pie*r²*length 2*pie*r*height+2*pie*r²
Triangular prism 1/2bh*l (1/2bh)2+bl+Sidelength1+sidelength2
Cone 1/3 pie*r² pie*r*side+pie*r²

IF YOU DON’T UNDERSTAND THIS VERY WELL……
Area

square = a2

rectangle = ab

parallelogram = bh

trapezoid = h/2 (b1 + b2)

circle = pi r 2

ellipse = pi r1 r2

triangle = (1/2) b h

Volumes

cube = a3

rectangular prism = a b c

irregular prism = b h

cylinder = b h = r2 h

pyramid = (1/3) b h

cone = (1/3) b h = 1/3 r2 h

sphere = (4/3) r3

ellipsoid = (4/3) pi r1 r2 r3

Surface Areas

cube = 6 a2

prism:
(lateral area) = perimeter(b) L
(total area) = perimeter(b) L + 2b

sphere = 4 r2

this website might help u a bit more http://math2.org/math/geometry/areasvols.htm

list of formulas for surface area and volume?

admin — Mon, 31 May 2010 04:39:16 +0000

does anyone have a link to a list of formulas for the surface area and volume for like spheres, pyramids, cones, trapezoids, parallelograms, etc etc.

Try this one:

http://math.about.com/library/blmeasurement.htm

wheres a place i can get the area formulas for polygons on the internet that aint blocked?

admin — Fri, 28 May 2010 14:21:39 +0000

i have geometry work and only in the 9th grade and its pretty hard but i need a good place to get all the formulas to find area on the internet that isnt blocked by the school.

Without working at your school’s IT department, it’s impossible to know which sites would/wouldn’t be blocked at your school.

http://www.google.com/search?q=geometric+figures+areas&ie=utf-8&oe=utf-8&aq=t&rls=org.mozilla:en-US:official&client=firefox-a

Where does the volume/surface area formula for a sphere come from?

admin — Wed, 26 May 2010 01:17:28 +0000

In my geometry class, I noticed there is no "proof" for the volume and surface area formula for a sphere. When I looked it up online, Again I found nothing. Does anyone know what evidence there is to back up these formulas?

Both formulas can be derived using calculus.

Do you know a song about the area formulas?

admin — Thu, 06 May 2010 00:13:36 +0000

I need to make up a song that is easy to remember about the area formulas of a rectangle and a square, a parallelogram, a triangle, and a trapezoid.

Here are the formulas:

Rectangles and Squares- L x W
Parallelograms- b x h
Triangles- b x h divided by 2
Trapezoids- h divided by 2 x (A base + B base)

got your first line..
R and S is L times Wi, find out what it means to me (respect tune..)
http://www.youtube.com/watch?v=_DZ3_obMXwU 1 min 44 seconds in

good luck with the rest

Does anyone know the formulas for area for these shapes?

admin — Wed, 31 Mar 2010 00:27:25 +0000

I’m having trouble remembering the formulas to find area for the following shapes. Can anyone help me out?
area of a pentagon
Trapezoid
right trapezoid
Regular Hexagon

Thanks!

Also, I’m pretty sure that the formula for volume for all prisms is Area of the base * the height. Is that right?

volume for all prisms is Area of the base * the height
area of a pyramid = 1/3 * base * height.

Trapezoid (B+b) * h/2
right trapezoid same
Regular Hexagon is 6 triangles. height of each = (s^2-(s/2)^2)^.5 then for s=2, (4-1)^.5
or, 1/2 * s *s *3^.5
so for the hexagon, it’s 6 * 1/2 * s *s *3^.5 = 3s^2*3^.5

pentagon

How would you represent these formulas algebraically to calculate the surface area of the human body?

admin — Fri, 26 Mar 2010 22:36:33 +0000

1. Three-fifths of the height squared
2. 100 times the surface area of the hand print
3. Twice the height times thigh circumference

Thanks

(3/5)h^2
100S
2hC

h = height
S = hand-print surface
C = thigh circumference

Which of the following formulas would find the Lateral Area of a right cylinder where h is the height, and r i?

admin — Sun, 21 Mar 2010 00:23:37 +0000

Which of the following formulas would find the Lateral Area of a right cylinder where h is the height, and r is the radius?

A. LA = 2rh
B. LA = 2r2
C. LA = 2r
D. LA = rh

Hi, the answer is none of them, since the correct formula is LA = 2Pi*r*h (it is obtained multiplying the length of the base circumference, 2Pi*r, with the height of the cylinder).
I hope this helped you. Bye!

What is the area formula for a rectangle?

admin — Wed, 17 Mar 2010 01:33:36 +0000

1.What is the area formula for a rectangle

2. What is the area formula for a triangle

1.What is the area formula for a rectangle

A = W × L …………… where W = width, L = length

2. What is the area formula for a triangle

A = (b × h) / 2 ……….. where b = base, h = altitude

What are the formulas for find the surface area of a cone and a cylinder?

admin — Sun, 31 Jan 2010 08:55:26 +0000

The surface area of a cone is A = πrl where l is the slant height of the cone (if you don’t know it, but know the height and radius, you can use the Pythagorean Theorem).

You can find the proof here:
http://www.allendesigns.com/AreaofCone/AreaofCone.htm

For a cylinder, the surface area is:

A = 2πr² + 2πrh

For the cylinder, we compute the area of the top and bottom (which are just two congruent circles), plus the lateral area (which is just a rectangle with it’s height being the height of the cylinder and the width being the perimeter of either base).

I hope this helps!