let a= side of the cube
area of one face is a2 so area of the cube is 6 x a2
so if the dimension is doubled the new dimension is 2a
therefore area of the new face would be (2a)2 or 4a2 and of that cube is 6 x 4a2 now if we divide the two areas 24a2/6a2 the answer would be 4 therefore if we double the dimension of a cube the area will be 4 times bigger.
If the height of a cube doubles and becomes a square prism instead of a cube, four of the six original equal area surfaces double in area, but the other two are unchanged. Therefore the area of the square prism is (2/3) X 2 = 4/3 as great as the original cube. If the original object is to remain a cube when its height doubles, all the other dimensions must also double; in that instance, the area increases by a factor of four.
It quadruples in area.
The cube's edges measure 3 inches, the surface area of the cube is 54 square inches and the diagonal space of the cube is 5.196 inches.
If you double a 2-inch cube to a four-inch cube, its volume increases from eight cubic inches to 64 cubic inches.
That is because a cube has 3 dimensions, and a square has 2.That is because a cube has 3 dimensions, and a square has 2.That is because a cube has 3 dimensions, and a square has 2.That is because a cube has 3 dimensions, and a square has 2.
Edges: 284.2 mDiagonal space: 492.3 mSurface area: 484,700 m2
Edges: 6.709 cmDiagonal space: 11.62 cmSurface area: 270.1 cm2
if a cube it would be 11.5 x 11.5 x 11.5
If the surface area is 49 cm2 then the edge lengths are 2.858 cm
It is 24 square units.
Because
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.