Question - Finding the Rectangular Prism Model for a Given Volume
Solution:
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 inchesB. Volume = 10 in. x 7 in. x 3 in. = 210 cubic inchesC. Volume = 13 in. x 8 in. x 5 in. = 520 cubic inchesD. Volume = 13 in. x 9 in. x 4 in. = 468 cubic inchesThe only option with a volume of 520 cubic inches is option C, so option C represents Juan's box.
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