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Increasing the side length of a cube by a factor of 4 increases the volume by a factor of?
64! -Apex
Increasing the side length of a cube by a factor of 3 increases the volume by a factor of?
(3)3 = 27
Fill in the blank Increasing the side length of a cube by a factor of 4 increases the volume by a factor of?
64
What happens to the volume of a cube when the length of the side doubles?
When the length of the side of a cube doubles, the volume increases by a factor of eight. This is because the volume of a cube is calculated using the formula ( V = s^3 ), where ( s ) is the length of a side. If the side length increases from ( s ) to ( 2s ), the new volume becomes ( (2s)^3 = 8s^3 ), demonstrating that the volume is eight times greater than the original.
If all the sides of a prism are multiplied by 8 by what factor does the volume increase?
If all the sides of a prism are multiplied by a factor of 8, the volume increases by a factor of (8^3) (since volume is a three-dimensional measure). This means the volume increases by a factor of 512. Therefore, if the original volume is (V), the new volume will be (512V).
Increasing the side length of a cube by a factor of 4 increases the volume by a factor of?
64! -Apex
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 3 increases the volume by a factor of?
(3)3 = 27
Fill in the blank Increasing the side length of a cube by a factor of 4 increases the volume by a factor of?
64
Is the sides of a cell double in length its volume increases by?
If the sides of a cell double in length, its volume increases by a factor of 8 (2 cubed). This is because volume is calculated by length x width x height, so if all dimensions are doubled, the volume increases proportionally.
As the length of a cell increases its volume increases faster than its?
surface area. This is due to the volume increasing cubically as the length increases, while the surface area only increases squared. This can lead to issues with nutrient and waste exchange in larger cells.
How are the area and volume each affected if the side length is doubled and Cubed?
If the side length of a cube is doubled, the area of each face increases by a factor of four, since area is proportional to the square of the side length (A = s²). Therefore, the total surface area increases by a factor of four as well. When the side length is cubed, the volume increases by a factor of eight, since volume is proportional to the cube of the side length (V = s³). Thus, doubling the side length results in a surface area that is four times greater and a volume that is eight times greater.
What happens to the volume of a cube when the length of the side doubles?
When the length of the side of a cube doubles, the volume increases by a factor of eight. This is because the volume of a cube is calculated using the formula ( V = s^3 ), where ( s ) is the length of a side. If the side length increases from ( s ) to ( 2s ), the new volume becomes ( (2s)^3 = 8s^3 ), demonstrating that the volume is eight times greater than the original.
How does multiplying the edge length of a cube by a number n affects the volume of the cube?
When the edge length of a cube is multiplied by a number ( n ), the new edge length becomes ( n \times \text{original edge length} ). Since the volume of a cube is calculated as ( V = \text{edge length}^3 ), the new volume will be ( (n \times \text{original edge length})^3 = n^3 \times \text{original volume} ). This means the volume increases by a factor of ( n^3 ). Thus, multiplying the edge length by ( n ) results in the volume increasing ( n^3 ) times.
How does the volume of a rectangular prism change the length is doubled?
The volume of a rectangular prism is calculated by multiplying its length, width, and height (V = length × width × height). If the length is doubled while keeping the width and height the same, the new volume becomes V = (2 × length) × width × height, effectively doubling the original volume. Thus, the volume of the rectangular prism increases by a factor of two when the length is doubled.
On increasing the temperature do the lenghth increases?
Yes, for most substances the length, or volume, increases when the temperature rises. However, there are exceptions. One notable exception is water, between 0 and 4 degree Celsius.
If all the sides of a prism are multiplied by 8 by what factor does the volume increase?
If all the sides of a prism are multiplied by a factor of 8, the volume increases by a factor of (8^3) (since volume is a three-dimensional measure). This means the volume increases by a factor of 512. Therefore, if the original volume is (V), the new volume will be (512V).
