Answer:
A. 189 ft³
Step-by-step explanation:
If the volume of the original prism is ...
V = LWH
then the volume of the smaller one will be ...
v = (L/2)(W/2)(H/2) = LWH/8 = V/8
The smaller prism will have a volume of ...
1512 ft³/8 = 189 ft³
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As you can see from the above, the scale factor for volume is the cube of the scale factor for the linear dimensions: (1/2)³ = 1/8.