Example Question - box volume comparison
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Box Volume Comparison and Labeling
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 feet 2. 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 feet 3. 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 feet Now 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.
Box Volume Comparison
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 ft Width = 2 1/2 ft = 2.5 ft Height = 3 ft Volume = 2.5 ft × 2.5 ft × 3 ft = 18.75 cubic feet. box 2: Length = 30 ft Width = 1 ft Height = 1 ft Volume = 30 ft × 1 ft × 1 ft = 30 cubic feet. box 3: Length = 1/2 ft = 0.5 ft Width = 1 1/2 ft = 1.5 ft Height = 12 ft Volume = 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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