Question

Two similar boxes are used for packaging laundry soap. One box has a volume of 648 inches3
; the other box has a volume of 24 inches3
. Compare the volumes and determine the scale factor between the two boxes.(1 point)
Responses

2
2

12

Start Fraction 1 over 2 End Fraction

1
1

3

Answer 1

Volume ratio = 648:24 = 27:1, so the larger box has 27 times the volume of the smaller.
The linear scale factor = cube root(27) = 3, i.e. corresponding lengths are in ratio 3:1 (large:small).