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F the volume of a cube is increased by a factor of 8 what is the change i?
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How do the volumes of the cube compare to each other?
Side = 3 units, volume = 27 cu units, side = 6 units, volume = 216 cu units. The side is increased by a factor of 2 and the volume is increased by a factor of 8, ie 23 If the side were increased by a factor of 3, we would thus expect the volume to increase by a factor of 33 ie 27, so: side 9 units, volume 729 cu units which is indeed 27 x 27. To summarise: the volume increases by the cube of the factor by which the side increases.
What is the volume of a cube if each edge is doubled?
The volume of a cube is proportional to the cube of its edge.If the edge is doubled, the volume increases by a factor of (2)3 = 8
How is the volume of a shape affected by an enlargement of a scale factor of 2 and why?
Try it out. The volume of a 2-inch cube is 8 cubic inches. The volume of a 4-inch cube is 64 cubic inches. The dimensions doubled, the volume increased 8 times because volume is a cubic measure. 2 cubed is 8.
How is the volume of a cube affected if the dimensions of the cube are tripled?
Volume is proportional to the cube (3rd power) of the linear dimensions.If the side of the cube is tripled, the volume increasesby a factor of (3)3 = 27 .
How much greater is the volume of a cube when the length of each edge is multiplied by 5?
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.
If the volume of a ube is increased by factor of 8 what is the change in the length of the sides of the cube?
It is doubled.
How do the volumes of the cube compare to each other?
Side = 3 units, volume = 27 cu units, side = 6 units, volume = 216 cu units. The side is increased by a factor of 2 and the volume is increased by a factor of 8, ie 23 If the side were increased by a factor of 3, we would thus expect the volume to increase by a factor of 33 ie 27, so: side 9 units, volume 729 cu units which is indeed 27 x 27. To summarise: the volume increases by the cube of the factor by which the side increases.
What is the difference in the volume of a cube when of its sides is doubled?
The volume is increased 8 times
What is the volume of a cube if each edge is doubled?
The volume of a cube is proportional to the cube of its edge.If the edge is doubled, the volume increases by a factor of (2)3 = 8
If you double the dimensions of a cube by what factor will its volume increase?
The volume will increase by a factor of 8. A cube that is 2 inches on all sides has a volume of 8 cubic inches. Double it to 4 inches and the volume increases to 64 cubic inches. Double it again and the volume increases to 512 cubic inches. Each time the volume has increased by a factor of 8. It is no coincidence that double is the same as 2 times and that 2 x 2 x 2 = 8.
How is the volume of a shape affected by an enlargement of a scale factor of 2 and why?
Try it out. The volume of a 2-inch cube is 8 cubic inches. The volume of a 4-inch cube is 64 cubic inches. The dimensions doubled, the volume increased 8 times because volume is a cubic measure. 2 cubed is 8.
How is the volume of a cube affected if the dimensions of the cube are tripled?
Volume is proportional to the cube (3rd power) of the linear dimensions.If the side of the cube is tripled, the volume increasesby a factor of (3)3 = 27 .
How much greater is the volume of a cube when the length of each edge is multiplied by 5?
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.
What happens to the volume of a cube when the dimension of each side are doubled?
The volume is increased by eight times !
What is the critical relationship between cell volume and surface area?
The volume is proportional to the cube of the diameter, but the area, only to the square of the diameter. For example, if you double the diameter, the area will increase by a factor of 4, and the volume, by a factor of 8. Thus, the area/volume ratio will worsen, by a factor of 2.The volume is proportional to the cube of the diameter, but the area, only to the square of the diameter. For example, if you double the diameter, the area will increase by a factor of 4, and the volume, by a factor of 8. Thus, the area/volume ratio will worsen, by a factor of 2.The volume is proportional to the cube of the diameter, but the area, only to the square of the diameter. For example, if you double the diameter, the area will increase by a factor of 4, and the volume, by a factor of 8. Thus, the area/volume ratio will worsen, by a factor of 2.The volume is proportional to the cube of the diameter, but the area, only to the square of the diameter. For example, if you double the diameter, the area will increase by a factor of 4, and the volume, by a factor of 8. Thus, the area/volume ratio will worsen, by a factor of 2.
Increasing the side length of a cube by a factor of 2 increases the volume by a factor of?
8... apex :)
Increasing the side length of a cube by a factor of 4 increases the volume by a factor of?
64! -Apex
