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.
