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How is the volume of a shape affected by an enlargement of a scale factor of 2 and why?
Wiki User
∙ 8y ago
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.
Wiki User
∙ 8y ago
Wiki User
∙ 8y agoIts volume will increase by a factor of 8.Why?
* In general, the volume of similar figures is proportional to the cube of any linear dimension.
* You can imagine any figure as made up (approximated by) a large number of small cubes. If you expand the scale factor by 2, the volume of each of those cubes will increase by a factor of 8.
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What type of dilation occurs with a scale factor of 14?
The type of dilation that occurs with a scale factor of 14 is enlargement. Any time the scale factor is larger than 1, it is enlargement.
Another name for scale?
Enlargement factor.
What information do you need to complete a given shape enlargement?
The scale or enlargement factor.
What kind of scale factor produces an enlargement?
Scale factors whose absolute values are greater than 1.
What effect does the scale factor have on the area of the enlargement?
The area of the enlargement is increased by (sf)2.The area of the enlargement is increased by (sf)2.The area of the enlargement is increased by (sf)2.The area of the enlargement is increased by (sf)2.
What type of dilation occurs with a scale factor of 14?
The type of dilation that occurs with a scale factor of 14 is enlargement. Any time the scale factor is larger than 1, it is enlargement.
What is a negative scale factor?
A negative scale factor is used to produce the image on the other side of the centre of enlargement (scaled to the absolute value of the scale factor).
Another name for scale?
Enlargement factor.
What information do you need to complete a given shape enlargement?
The scale or enlargement factor.
What is an enlargement with a negative scale factor?
It is a smaller shape on the other side of the centre of enlargement.
A dilation is an enlargement if the scale factor is?
greater then 1
What happens to an enlarged image when the scale factor of enlargement is one?
Absolutely nothing. A scale factor of 1 is the same as saying do not change the scale.
If someone enlarged a drawing by a scale factor of 3 and got 396 cm squared what was the original drawing?
The scale factor is usually stated as a linear enlargement factor. Therefore, the area enlargement factor is the square of the scale factor, in this instance, 9. The area of the original drawing was thus 396/9 = 44 cm2.
Is a transformation that turns a figure to a fixed point?
An enlargement with a scale factor of 0.
What kind of scale factor produces an enlargement?
Scale factors whose absolute values are greater than 1.
What effect does the scale factor have on the area of the enlargement?
The area of the enlargement is increased by (sf)2.The area of the enlargement is increased by (sf)2.The area of the enlargement is increased by (sf)2.The area of the enlargement is increased by (sf)2.
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.
