### Home > CCG > Chapter 9 > Lesson 9.2.2 > Problem9-86

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?  Homework Help ✎

1. $1$

1. $2$

1. $3$

1. $4$

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

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

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

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