Table of Contents
What effect is there on the volume of a cube if the length of each edge is doubled?
If each side length is doubled, then the surface area of each face becomes 6(2x)2 = 6(4×2) = 24×2. The volume of a cube with side length x is x3. Each of the edge lengths in the cube are then doubled.
What will happen to the area of a cube if the length of the side is doubled?
Let the side length of the cube be a unit. Now it is given that the edge of the cube is doubled. So the new surface area of the cube is four times the old surface area.
What happens to the surface area of a cube if the length of each side is tripled?
Similarly when length is tripled (x = 3) surface area is increased ninefold (32 = 9) and volume is increased twenty-sevenfold (33 = 27).
How is the volume of a cube affected when the length of each edge is tripled 3 times )?
If you triple the measure of the edges, then each edge would measure , so the volume would be which is 27 times larger than the original cube. The surface area of the larger cube would be which is 9 times larger than the original cube.
How does the volume of a cube change when the side length is halved?
It means that if the edge of a cube is halved, its new volume will be times the initial volume.
How does volume change if the length is doubled?
That’s 8 times as much. If you double all of the dimensions of a rectangular prism, you create a similar prism with a scale factor of 2. The surface area of the similar prism will increase as the square of the scale factor (22 = 4) and the volume will increase as the cube of the scale factor (23 = 8).
What will happen to the volume of a cube if its side is held?
the answer is “the volume would be 1/8 th of the original volume”.
What will happen to the volume of a cube if the measure of each of its side is tripled?
If the side of the cube is tripled how many times the volume of the cube will be increased? Therefore, If we increase the side of the cube to 3 times then its volume is increased by 27 times.
What happens to the volume of a cube when each side is quadrupled?
Therefore volume will be 8 times more. Therefore volume will be 1/8 times less. If you multiply the length of each side of a cube (or any other 3D figure) by x, you multiply its surface area by x^2 and its volume by x^3. So if you double the length of each side, you quadruple (multiply by 4) the surface area.
What will happen to the volume of a cube if the length?
Yes, the volume of the cube of the cube will be reduced. It will be come 1/8th part of the original volume.