what is the formula for finding the area and volume for the following shapes?

Question

cube

rectangle

circle

triangle

cylinder

Answer 1

l^3

l*w

pi*r^2

1/2 b*h

h*(pi*r^2)

Answer 2

Cube Volume = length of side multiplied 3 times (cubed)
ie: 3 inch square = 3 x 3 x 3 = 27 cubic inches

area equals - cube has six sides. area of one side is side squared = ie: 3 inch cube - area of one side is 3 x 3 = 9 sq inches
and for the entire cube multiply 9 x 6 sides = 54 sq inches

rectangle: area is side x length say a 4 x 6 = 24

rectangle volume - a rectangle does not have a volume

circle = area is pi x radius squared Say a circle with diameter of 4 inches . then area is 3.1416 x 2 x 2

triangle area = for a triangle where only the length of the sides is known the formula is:

Area = root of (s-a) (s-b) (s-c) where abc stands for the lengths of the three sides

The above is know as "Hero's formula"

Cylinder volume: area of an end x the height

Area of an end = one half of the circumference x radius

Multiply the result by the height of the cylinder to get the volume

Area of a cylinder = Find area of two ends as in area of circle above.

The area of the lateral surface of a cylinder = the circumference of the base x the altitude. This is for a "right" cylinder only.

add the area of the two ends and the lateral surface area to get the total area

Answer 3

For cube Volume is : a x a x a (a is the side of the cube)
Area is : a x a

Rectangle has only area and give by a x b (a is length and b is breadth)

circle is pi x r x r or pi x d (r is radius of circle, d is diameter and pi is 22/7 or 3.14)

triangle : 0.5 x base x height or use Hero's formula

cylinder : pi x r x r x h is the volume (r - radius, h - height)
pi x r x h

Answer 4

volume is only for 3D objects.
cube:
if 'a' is the side of the cube then the volume of the cube is given as: volume = a^3.
total surface area = 6*(a^3)

rectangle:
if 'l' is the length of the rectangle and 'b' is the bredth of the rectangle , then
area = l*b

circle:
if 'r' is the radius of the circle, then
area = pie*(r^2)

triangle:
if a,b,c are the sides of the triangle and s=(a+b+c)/2, then area of the triangle = (s*(s-a)*(s-b)*(s-c))^(1/2)

cylinder:
r = radius
h = height
total surface area of the closed cyinder = 2*pie*r*h + pie*(r^2)
surface area of an open cylinder = 2*pie*r*h
volume = pie*(r^2)*h

Answer 5

cube- a*a*a where "a" is the measure of the sides.
base area-a*a
rectangle- area - length*breadth (no formulae for volume since it is a 2d figure)
circle-area-pi*r*r where "r" is the radius.
triangle-area-
right angled triangle- 1/2*base*height
equilateral triangle - root3/4*side*side
heron's formulae


cylinder-base area- pi*radius*radius

volume- pi*radius*radius*height

Answer 6

Rectangle=length *bredth
circle=pi*r^2
triangle=1/2 * base*height

Answer 7

cube, of side length a, area 6*a^2 volume a^3

rectangle, of sides a, b, c, area = 2*(a*b+a*c+b*c) volume = a*b*c

circle...errrr...area = pi*r^2 where r=radius, no volume here.

triangle, depending on what you are given, area = 0.5* base *height. again, this is a 2D item, so no volume here.

cylinder: if you have height h, radius r,
area = 2*pi*r*h + 2*(pi*r^2)
volume = pi*r^2*h (area of base times height)

Answer 8

I use the same formulas that are in any book on geometry.

Answer 9

http://www.science.co.il/Formula.asp

Answer 10

L*W*H
L*W
Pi*R^2
.5B*H
Pi*R^2*H