Question
Jess has a storage bin that is 3 ft. high, 4 ft. long, and 2 ft. wide. If each box is one cubic foot in volume, how many will fit into the storage bin?
Answers
GPT-4o mini
To determine how many one-cubic-foot boxes can fit into Jess's storage bin, we need to find the volume of the storage bin.
The volume \( V \) of a rectangular prism can be calculated using the formula:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
For Jess's storage bin:
- Height = 3 ft
- Length = 4 ft
- Width = 2 ft
Now we can substitute these values into the volume formula:
\[
V = 4 \, \text{ft} \times 2 \, \text{ft} \times 3 \, \text{ft}
\]
\[
V = 24 \, \text{cubic feet}
\]
Each box has a volume of 1 cubic foot. To find out how many boxes can fit into the storage bin, we divide the volume of the bin by the volume of each box:
\[
\text{Number of boxes} = \frac{24 \, \text{cubic feet}}{1 \, \text{cubic foot}} = 24
\]
Therefore, Jess can fit **24 boxes** into the storage bin.
The volume \( V \) of a rectangular prism can be calculated using the formula:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
For Jess's storage bin:
- Height = 3 ft
- Length = 4 ft
- Width = 2 ft
Now we can substitute these values into the volume formula:
\[
V = 4 \, \text{ft} \times 2 \, \text{ft} \times 3 \, \text{ft}
\]
\[
V = 24 \, \text{cubic feet}
\]
Each box has a volume of 1 cubic foot. To find out how many boxes can fit into the storage bin, we divide the volume of the bin by the volume of each box:
\[
\text{Number of boxes} = \frac{24 \, \text{cubic feet}}{1 \, \text{cubic foot}} = 24
\]
Therefore, Jess can fit **24 boxes** into the storage bin.