CPM Homework Help : CCG Problem 9-86

Multiple Choice: A solid with a volume of $26\text{ in.}^3$ was enlarged to create a similar solid with a volume of $702\text{ in.}^3$ . What is the linear scale factor between the two solids?

Step 1:

$\text{Volume of large solid}=\text{(the linear scale factor)}^3\text{(volume of small solid)}$

Step 2:

Substitute the given values into the above equation: $702=r^3(26)$

Step 3:

Isolate the $r^3$ , $27=r^3$

Step 4:

$\sqrt[3]{27}=\sqrt[3]{r^3}$