64 times greater.
You would have to specify the shape for which we are finding these quantities. But let us say that it is a cube, which is the easiest. The length of an edge of the cube, multiplied by itself gives the area of a face, and multiplied by itself again gives the volume. So the cube root of the volume is the edge length, and then the square of the edge length is the surface area of one face of the cube, which multiplied by 6 gives the area of the entire cube.
First cube's edge is 4 units, volume is 64 cunits. Second cube's edge is 12 units, volume is 1728 cunits, an increase of 27 times the original. This is to be expected as 3 cubed is 27.
Sample A: cube of side 2, volume 2 x 2 x 2 = 8 Sample B: cube of side 10, volume 10 x 10 x 10 = 1000 Volume has increased by a factor of 125 ie 53 which is what we would expect.
The volume of a cube is determined by cubing the length of one edge, so the cube root of the volume will give you the length of an edge. (In a cube, all of the edges are the same length)
The volume of a cube depends on the length of its side.
times 4
No, The volume of the cube would be the length multiplied by the length multiplied by the the length. Volume=Length X Length X Length (of a cube) V=L^3 The proof of this involves some work, but I'm assuming you don't want the proof behind this. http://www.math.com/tables/geometry/volumes.htm
A box is typically a cube shape. The volume of a cube is equal to length multiplied by width multiplied by height. V = L * W * H
You would have to specify the shape for which we are finding these quantities. But let us say that it is a cube, which is the easiest. The length of an edge of the cube, multiplied by itself gives the area of a face, and multiplied by itself again gives the volume. So the cube root of the volume is the edge length, and then the square of the edge length is the surface area of one face of the cube, which multiplied by 6 gives the area of the entire cube.
First cube's edge is 4 units, volume is 64 cunits. Second cube's edge is 12 units, volume is 1728 cunits, an increase of 27 times the original. This is to be expected as 3 cubed is 27.
Sample A: cube of side 2, volume 2 x 2 x 2 = 8 Sample B: cube of side 10, volume 10 x 10 x 10 = 1000 Volume has increased by a factor of 125 ie 53 which is what we would expect.
The volume of a cube is determined by cubing the length of one edge, so the cube root of the volume will give you the length of an edge. (In a cube, all of the edges are the same length)
The volume of a cube depends on the length of its side.
The volume of Cube B is 216 cm3
The volume of a cube is calculated using the formula ( V = s^3 ), where ( s ) is the edge length. The original cube with an edge length of 5 inches has a volume of ( 5^3 = 125 ) cubic inches. When the edge length is tripled to 15 inches, the new volume is ( 15^3 = 3375 ) cubic inches. The new volume is ( \frac{3375}{125} = 27 ) times greater than the original volume.
The vo;ume of a cube is s-cubed, that is, the length of one side (or edge) multiplied by itself 3 times. In this case it is 3 x 3 x 3 = 27.
The volume of a cube is the side cubed, so a cube with a side length of 4 has a volume of 43 = 64.