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

1
1

2
2

3
3

12
Start Fraction 1 over 2 End Fraction

Answer 1

648 is 27 times 24 (648 ÷ 24 = 27). For similar boxes, linear scale factor k satisfies k^3 = 27, so k = 3.
Thus the volumes are in a 27:1 ratio and the linear scale factor is 3:1 (or 1:3 if comparing small to large).