Question - Box Volume Comparison
mathbox volume comparisonrectangular prism volume formulacalculating volume of boxeslabeling boxes based on volume
Solution:
To solve this question, we need to calculate the volume for each of the three boxes using the formula for the volume of a rectangular prism:Volume = Length × Width × Height.Then, we can label each box as Large, Medium, or Small based on their respective volumes.box 1:Length = 2 1/2 ft = 2.5 ftWidth = 2 1/2 ft = 2.5 ftHeight = 3 ftVolume = 2.5 ft × 2.5 ft × 3 ft = 18.75 cubic feet.box 2:Length = 30 ftWidth = 1 ftHeight = 1 ftVolume = 30 ft × 1 ft × 1 ft = 30 cubic feet.box 3:Length = 1/2 ft = 0.5 ftWidth = 1 1/2 ft = 1.5 ftHeight = 12 ftVolume = 0.5 ft × 1.5 ft × 12 ft = 9 cubic feet.Now, comparing the volumes:- Box 2 has the largest volume, so it's labeled "Large".- Box 1 has the second largest volume, so it's labeled "Medium".- Box 3 has the smallest volume, so it's labeled "Small".Let's write these labels under the boxes accordingly.
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