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If a solid is enlarged with a linear scale factor of 2 how many times larger would the volume of the new volme be?
Wiki User
∙ 14y ago
Volume of a solid is proportional to the cube (3rd power) of its linear dimensions.
When linear dimensions are doubled, volume increases by a factor of (2)3 = 8 times.
Wiki User
∙ 14y ago
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Cone X has a volume of 100cm cubed. Cone Y is an enlargement of Cone X by scale factor 2. Calculate the volume of cone Y?
Remember, that the scale for volume is always cubed..... so you would want to take 100 x 100 x 100 to find the enlarged volume. The volume of the enlarged cone would be 1,000,000 cm cubed The answer given is incorrect. In order to work out the enlarged volume, you should take the original volume and multiply this by the linear scale factor cubed. In this case, the correct answer would be 800cm cubed, arrived at by taking the original volume of 100cm. cubed, and multiplying by the scale factor (2) cubed; 2 x2 x2 = 8.
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.
If the volume of the smaller rectangular box is 27 in what is the volume of the larger rectangular box?
If the volume of the smaller rectangular box is 27 in3, what is the volume of the larger rectangular box?
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
Tripling the linear size of an object multiplies its area by?
9 and its volume by 27
Cone X has a volume of 100cm cubed. Cone Y is an enlargement of Cone X by scale factor 2. Calculate the volume of cone Y?
Remember, that the scale for volume is always cubed..... so you would want to take 100 x 100 x 100 to find the enlarged volume. The volume of the enlarged cone would be 1,000,000 cm cubed The answer given is incorrect. In order to work out the enlarged volume, you should take the original volume and multiply this by the linear scale factor cubed. In this case, the correct answer would be 800cm cubed, arrived at by taking the original volume of 100cm. cubed, and multiplying by the scale factor (2) cubed; 2 x2 x2 = 8.
If the volume of a sphere decreases by a factor of 27 what happens to its diameter?
The volume of a sphere is 4/3 pi R3, which shows that volume is proportional to the cube of the linear dimension. Alternatively, the linear dimension is proportional to the cube-root of the volume.If volume decreases by a factor of 27, diameter decreases by a factor of (cube-root of 27) = 3. Diameter becomes 1/3rd the original diameter.
How do you find scale factor for two similar solids when their volume is known?
The linear scale factor is proportional to the cube root of the volumes.
Is the sun's volume smaller than the earth's volume?
No, it's much, much larger, by a factor of around a million.
How do you find the volume of a similar prism with only the scale factor and volume of the other prism?
The ratio of the volumes of similar solids is (the ratio of their linear dimensions)3 .
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 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 .
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.
How much will the volume of a rectangular prism increase if its length width and height are doubled?
Because the volume of a rectangular prism is the product of its length, width, and height, if these linear measures are doubled, the volume will increase by a factor of 23 = 8.
What is the mathermatical formula used to determine linear volume?
We're unable to find any literature that explains "linear volume".
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.
What is the equation for the scale factor of a sphere?
There is no equation for the "scale factor" of a sphere. If I assume you to mean how the volume increases with radius then you would use the volume equation for a sphere and calculate volume based on corresponding radii. You could then divide the resultant volumes to give a percentage or factor of how much larger or small one sphere is than another. You'll see that a small change in radius causes a large change in volume due to the volume being a cubic factor of the radius.
