Question - Box Volume Comparison and Labeling
Solution:
To determine which box is Large, Medium, or Small, we need to calculate the volume of each box. The volume of a rectangular box (also known as a rectangular prism) can be found by multiplying its length, width, and height.1. For the first box, the dimensions are: Length = 2.5 ft Width = 2.5 ft Height = 2 ft Volume = Length × Width × Height = 2.5 ft × 2.5 ft × 2 ft = 12.5 cubic feet2. For the second box, the dimensions are: Length = 30 ft Width = 1 ft Height = 1 ft Volume = Length × Width × Height = 30 ft × 1 ft × 1 ft = 30 cubic feet3. For the third box, the dimensions are: Length = 12 ft Width = 2 ft Height = 2 ft Volume = Length × Width × Height = 12 ft × 2 ft × 2 ft = 48 cubic feetNow that we have the volumes, we can see that:- The first box has a volume of 12.5 cubic feet.- The second box has a volume of 30 cubic feet.- The third box has a volume of 48 cubic feet.Comparing these, the third box is the largest volume with 48 cubic feet (Large), the second box is the next with 30 cubic feet (Medium), and the first box has the smallest volume with 12.5 cubic feet (Small).So, you would label them as follows:- The third box is Large.- The second box is Medium.- The first box is Small.
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