A Cube Is Dilated By A Factor Of 2.5. How Many Times Larger Is The Volume Of The Resulting Cube Than The Volume Of The Original Cube?

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A Cube Is Dilated By A Factor Of 2.5. How Many Times Larger Is The Volume Of The Resulting Cube Than The Volume Of The Original Cube?. A cube of side 4 cm is enlarged by a scale factor of 2.5. This means that if a cube is dilated by a scale factor, the volume of the dilated cube will be the volume of the original cube multiplied by the cube of the scale factor.

Ex 11.4, 7 If each edge of a cube is doubled, (i) how many times
Ex 11.4, 7 If each edge of a cube is doubled, (i) how many times from www.teachoo.com

A cube is dilated by a factor of 2.5 how many times larger is the volume of the resulting cube than the volume of the original cube. Volume of original cube v1 = x^3. When a cube is dilated by a factor of 2.5, its volume is 15.625 times larger than the original volume.

A Cube Is Dilated By A Factor Of 2.5 How Many Times Larger Is The Volume Of The Resulting Cube Than The Volume Of The Original Cube.


Let the side of the original cube be x. When a cube is dilated by a factor of 2.5, its volume is 15.625 times larger than the original volume. Volume of original cube v1 = x^3.

A) Calculate The Volume Of The Enlarged Cube.


11) a cube is dilated by a factor of 2.5.how many times larger is the volume of the resulting cube than the volume of the original cube? Volume of resulting cube v2 = (6.5x)^3 = 274.625x^3. ## step 1 the volume of a cube is calculated by the formula \ (v = a^3\) where 'a' is the length of one side.

\ ( \, K = \Frac {V'} { A^3} = \Frac { (25 * A)^3} {A^3}= \Frac.


## step 2 when the dimensions of a cube. A cube of side 4 cm is enlarged by a scale factor of 2.5. \ (a^3\, \, \, \, = \frac {v'} { k}\) divide the new volume by the original volume to get how many times bigger it is:

Side Of The Resulting Cube After Dilation By 6.5 Is 6.5X.


The volume of the original cube is $$x^ {3}$$x3 the volume of the resulting cube is $$ (2.5x)^ {3} = 15.625x^ {3}$$(2.5x)3 = 15.625x3 the resulting cube is 15.625 times larger in volume. This means that if a cube is dilated by a scale factor, the volume of the dilated cube will be the volume of the original cube multiplied by the cube of the scale factor. This is calculated by cubing the dilation factor, resulting in 2.53 = 15.625.

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