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If you double the dimensions of a cube by what factor will its volume increase?
Lawdog1881
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.
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∙ 13y ago
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If a radius of a sphere increase by a factor of 4 what does the factor of the volume increase?
64The formula to find the volume of a sphere is4/3 * pi * r3where r is the radius of the sphere. So if the radius is increased by a factor of 4, then the formula becomes4/3 * pi * (4r)3 = 4/3 * pi * 64r3showing that the volume increases by a factor of 64.
A box has the dimensions 20 cm by 10 cm what is its volume?
Your dimensions are for a square. You need one more dimension for a box.
How does doubling the height affect the volume?
If all other dimensions are left unchanged, doubling the height doubles the volume.
What happens to the volume of a cylinder if the radius is doubled?
V = (pi)*R2*H if you double the radius then put 2R in place of R in the formula: V = (pi)*(2R)2*H V = 4pi*R2*H So the volume will increase 4 fold if you double the cylinder's radius.
What is the volume of a rectangular prism that has these dimensions 2 ft 3ft 5ft?
Volume = 2*3*5 = 30 cubic feet
If the dimensions of a figure are increased by a factor of 7 By what factor does the volume change?
if all 3 dimensions increase b factor of 7 then volume changes by 7 cubed or a factor of 343
When all dimensions are tripled what happens to the volume?
If linear dimensions are increased by a certain factor, the volume will increase by that same factor, raised to the third power - so, in this case, 3 to the power 3.
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.
Suppose that each dimension of a prism is increased by ten percent by what percent does its volume increase?
When linear dimensions are increased by a factor of 'N', area increasesby the factor of N2 and volume increases by the factor of N3.(1.10)3 = 1.331 = 33.1% increase
How does the volume change when you double the dimensions?
If you double dimensions in the x, y and z direction, then the volume will be multiplied by 8 (2x2x2)
How is the volume of a sphere affected if you double the radius?
The volume of a sphere is proportional to R3 .So doubling the radius causes the volume to increase by a factor of 23 = 8 .
How do you double the volume of a cylinder?
Double its height or increase its radius by a factor of sqrt(2) = 1.4142 (approx) or some combination of changes to he height and radius.
How can 2 prisms have the same volume but different dimensions?
If you double the cross-sectional area and halve the length, you will still have the same volume but the dimensions will be different.
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.
When the volume of a cell increases its surface area?
increases: by approximately the square of the cube root of the volume increase (that would be exact if the cell was a sphere). Or, in other words, if you double the size (diameter) of a cell. its surface area increases by a factor of 4, and it volume increases by a factor of 8.
If the two sides of a cell double in length its volume increases by how many times?
If the sides of a cell doubles, this volume will increase by 8 times. Here is an explanation: Say you have a cell with the side dimension equal to n. The volume of the cube is n3 Double the side lenght to 2n The volume is now (2n)(2n)(2n) = 8n3
What if the volume of a cylinder is reduced from 8.0 liters to 4.0 liters what should be the pressure of the gas in the cylinder?
If the volume is reduced, and all else remains the same, then the pressure will increase by a factor of 2, or it will double.
