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The surface area is quadrupled.

Q: How does the surface area of a cube change if the length of each side is doubled?

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if length and width are doubled then the volume should mulitiply by 8

It quadruples.

if length is doubled then resistivity increases&when area is doubled resistivity decreases.

the surface area quadruples.

The effect on the total surface area of one dimension being doubled or tripled cannot be calculated. You either need to know all three dimensions or all three dimensions must be doubled, not just one dimension (or demension / demansion as you call them).

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if length and width are doubled then the volume should mulitiply by 8

It quadruples.

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.

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)

Surface Area becomes 4 times the original when its edges are doubled because Suraface area = (edge)^2

If the length of a material is doubled, the resistivity remains the same. Resistivity is an intrinsic property of a material and is not affected by the dimensions of the material. However, the resistance of the material will double if the length is doubled, according to the formula R = ρ * (L/A), where R is resistance, ρ is resistivity, L is length, and A is cross-sectional area.

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.

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.