Finding the Rectangular Prism Model for a Given Volume
The question is asking to find out which model of a rectangular prism represents a box that has a volume of 520 cubic inches.
To solve this, we need to calculate the volume of each rectangular prism (A, B, C, D) using the formula for the volume of a rectangular prism:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
Let's calculate the volume for each option:
A. Volume = 12 in. x 10 in. x 6 in. = 720 cubic inches
B. Volume = 10 in. x 7 in. x 3 in. = 210 cubic inches
C. Volume = 13 in. x 8 in. x 5 in. = 520 cubic inches
D. Volume = 13 in. x 9 in. x 4 in. = 468 cubic inches
The only option with a volume of 520 cubic inches is option C, so option C represents Juan's box.
