Answer:
Mai is correct in her assessment that the scale factor used to scale the original box to the new box is 4, as it yields the correct volume of 448 cubic inches.
Step-by-step explanation:
AI-generated answer
To determine the correct scale factor used to scale the original box to the new box, we can compare the volumes and analyze the scale factors provided by Mai, Andre, and Lin.
1. Original box volume: 7 cubic inches
2. New box volume: 448 cubic inches
Let's calculate the scale factor based on the volumes provided:
- Mai's scale factor: 4
- If we scale the original box by a factor of 4:
- Volume of the scaled box = 7 cubic inches × 4³ = 7 cubic inches × 64 = 448 cubic inches
- Mai's scale factor of 4 is correct.
- Andre's scale factor: 16
- If we scale the original box by a factor of 16:
- Volume of the scaled box = 7 cubic inches × 16³ = 7 cubic inches × 4096 = 28672 cubic inches
- Andre's scale factor of 16 does not result in a volume of 448 cubic inches, so it is incorrect.
- Lin's scale factor: 64
- If we scale the original box by a factor of 64:
- Volume of the scaled box = 7 cubic inches × 64³ = 7 cubic inches × 262144 = 1835008 cubic inches
- Lin's scale factor of 64 does not result in a volume of 448 cubic inches, so it is incorrect.
