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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.
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.
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 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
Is the sun's volume smaller than the earth's volume?
Yes, the Sun's volume is much larger than Earth's. The Sun's volume is about 1.3 million times that of Earth.
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.
What are the surface areas of two similar figures are 27 and 1331 if the volume of the smaller one is 18 then what is the larger ones volume?
The ratio of the surface areas of two similar figures is equal to the square of the ratio of their corresponding linear dimensions. Given the surface areas are 27 and 1331, the ratio of their corresponding linear dimensions is the square root of ( \frac{1331}{27} ). Since the volume ratio is the cube of the linear dimension ratio, we can find the larger volume by calculating ( \frac{1331}{27} ) and then multiplying the smaller volume (18) by the cube of that ratio. The larger volume is therefore ( 18 \times \left(\frac{1331}{27}\right)^{\frac{3}{2}} = 486 ).
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.
Why a cell grows larger the surface area of the cell increases much more rapidly than the volume of the cell True or false?
True. As a cell grows larger, its volume increases more quickly than its surface area. This is because volume is determined by the cube of the linear dimension (x^3), while surface area is determined by the square of the linear dimension (x^2). This can lead to issues with nutrient and waste exchange as the cell grows larger.
What is the mathermatical formula used to determine linear volume?
We're unable to find any literature that explains "linear volume".
