The surface area is quadrupled.
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.
When the dimensions of a cube are doubled, each side length increases from ( s ) to ( 2s ). The surface area of a cube is calculated as ( 6s^2 ); therefore, the new surface area becomes ( 6(2s)^2 = 6 \times 4s^2 = 24s^2 ). This shows that the new surface area is four times greater than the original surface area of ( 6s^2 ). Hence, when the dimensions are doubled, the surface area indeed increases by a factor of four.
When the measurements of a rectangular prism are doubled, the surface area increases by a factor of four. This is because surface area is calculated using the formula (2(lw + lh + wh)), where (l), (w), and (h) are the length, width, and height. Doubling each dimension (length, width, and height) results in each area term being multiplied by four, leading to a total surface area that is four times larger than the original.
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.
The Area of a square can be written as it's side length^2, orA = s^2if the side length is doubled, then s' is 2s.A' = (s')^2A' = (2s)^2A' = 4s^2 = 4*AWhen the side length is doubled, the area increases by a factor of 4
When the dimensions of a cube are doubled, each side length increases from ( s ) to ( 2s ). The surface area of a cube is calculated as ( 6s^2 ); therefore, the new surface area becomes ( 6(2s)^2 = 6 \times 4s^2 = 24s^2 ). This shows that the new surface area is four times greater than the original surface area of ( 6s^2 ). Hence, when the dimensions are doubled, the surface area indeed increases by a factor of four.
Surface Area becomes 4 times the original when its edges are doubled because Suraface area = (edge)^2
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)
If the side length of a cube is doubled, the area of each face increases by a factor of four, since area is proportional to the square of the side length (A = s²). Therefore, the total surface area increases by a factor of four as well. When the side length is cubed, the volume increases by a factor of eight, since volume is proportional to the cube of the side length (V = s³). Thus, doubling the side length results in a surface area that is four times greater and a volume that is eight times greater.