This week in Foundations 11 I learned the difference between linear scale factor, area scale factor and volume scale factor and how to be able to measure things with those different scale factors. To be able to find the linear scale factor from having the volume from each shape.

the volume given for the original shape is  and the new shapes volume is

To be able to find the volume scale factor, you take the two volumes and divide them from each other, .  128 divided by 40 is 3.2, meaning that the volume scale factor is 3.2. Once you have the volume scale factor, you take the number you got a cube root it to be able to find the linear scale factor. The linear scale factor is 1.47cm.

the area of the original square is  and the width of the larger square is

To be able to find the linear scale factor, you take the two numbers and divide them by each other with the new square over the old square, 48 divided by 8 which is 6, meaning that the area scale factor is  . Once you have the area scale factor, you take the number you got and you square root it to be able to find the linear scale factor. The linear scale factor is 2.4cm.

*i was not able to upload my photos on here*