if length and width are doubled then the volume should mulitiply by 8
Assuming no change in the width, yes.
Area = length*width new Area = 2 * length * width Area is doubled
if length is doubled then resistivity increases&when area is doubled resistivity decreases.
The change in the surface area depends on the shape. The volume will double.
The surface area of the 'wall' doubles, but the base areas remain the same.
Surface Area becomes 4 times the original when its edges are doubled because Suraface area = (edge)^2
the surface area quadruples.
this is incorrect -- quick example.. 2"x2"x2" cube -- will have a surface area on each side of 4"sq (2x2=4) --- now make that 4"x4"x4" -- this cube will have a surface area on each side of 16"sq (4x4=16)
It will increase by a factor of 4; in other words, it will be 4 times greater. Given that all sides of a cube are of equal dimension, I will call this variable dimension x. The surface area is, therefore, x2. If the side of the cube is doubled (2x), then the surface area would be (2x)(2x) = (2x)2 = 4x2. So: x --> 2x (the side length is doubled) x2 --> 4x2 (the surface area is quadrupled)
It won't. The pressure within a hollow object may change if the surface area changes, hence the volume. The total pressure acting on the exterior of a solid object may change if the total surface area changes.