If you double the side, then the volume (which you've called size) will go up by the power of three, so a 2 foot sided cube (which has a volume of 8 cu ft) will go to a 4 foot sided cube with a volume of 64 cu ft. If you then halve that you will have 32 cuft and this will have a side which is the cube root of 32 which is 1.28 feet.
It will be a quarter of what it was.
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)
The surface area is quadrupled.
The volume is increased by eight times !
The area increases by a factor of 4.
area = side x side if the side is halved, then new_area = side/2 x side/2 = side x side / 4 = area / 4 The area becomes a quarter of what is was. With similar objects, The ratio of areas is the square of the ratio of the lengths The ratio of volumes is the cube of the ratio of the lengths.
When you double the linear dimension of a cube,its volume becomes 8 times its original value.
Increased from 3 cubed, 27 to 6 cubed, 216
The volume is reduced by 7/8. for example - if you had a cube measuring 4 cm each side - the volume would be 4x4x4=64cm3. Halving each side to 2cm would result in the sum 2x2x2=8cm3. 8 is one-eighth of 64.
The cube root is the side of a cube.
If every side (face) of the cube is doubled (meaning both width and height of cube are doubled), then the volume is increased by a factor of 8. In other words: If v is the original volume... v = l * w * h and length (l), width (w), and height (h) all double, (V is the new volume V = (2 * l) * (2 * w) * (2 * h) = l * w * h * 2 * 2 * 2 = l * w * h * 8 = v * 8
No, it will be quadrupled.