Answer:
C. 1/8
Step-by-step explanation:
Dimensions of the Original Box:
Length = 40 inches
Width = 20 inches
Height = 8 inches
Volume of original box = L*W*H = 40*20*8 = 6,400 in³
Dimensions of the New Box (½ of the dimensions of the original box):
Length = ½*40 = 20 in
Width = ½*20 = 10 in
Height = ½*8 = 4 in
Volume of original box = L*W*H = 20*10*4 = 800 in³
Constant of proportionality between the volume of the new box and the volume of the original box = [tex] \frac{800}{6,400} = \frac{1}{8} [/tex]
