how do you work out the cross section of a shape?

Question

help!

Answer 1

http://mathworld.wolfram.com/CrossSection.html

Answer 2

Take a loaf of bread, the cross section would be the same shape as a slice of that bread.

It only works like this though when you have a shape that you could cut into loads of peices and end up with lots of bits the same shape.

Likewise the cross section of a cylinder is a circle

Answer 3

It depends on the shape. Just use the formula for the shape that the cross section is. For example the cross section of a pipe is just
A=π*r^2

Answer 4

most shapes will have different cross sections depending on the intersecting plane. for example, if you take a circular cylinder and take a cross section at right angles to the axis you get a circular cross section. however, the cross section parallel to the axis is a rectangle. a sphere always gives a cricular crossection irrespective of the intersecting plane.

Answer 5

Depends on the shape and the plane of intersection. The cross sections of spheres are circles.

Answer 6

simpson's rule

divide the cross-section into an even number
2n of strips at equal intervals h and of lengths
y1,y2,y3,...y(2n+1)

the area between the ordinates y1and y(2n+1)
=1/3{width of the strip}{sum of the first
and last ordinates+twice the sum of the
other odd ordinates+four times the sum of
the even ordinates}

the above formula is simpson's rule

i hope that this helps