a tent has a volume of 26.25 in. cubed. Every dimension is multiplied by a scale factor so that the new tent has a volume of 1680 in. cubed. What was the scale factor?

Question

directrix · Answer

Use this theorem:

If two solids are similar, the cube of the scale factor of the two solids is equal to the ratio of the volumes.

directrix · Answer

You will need to solve this equation:

(scale factor)^3 = 26.25 / 1680

Divide 26.25 by 1680 and then take the cube root of that quotient. 

The cube root is the scale factor.   @Girlsrule64