Question
One board, 1½” thick, 5” wide, 3’ long. caluclate in cubic feet
Answers
GPT-4o mini
To calculate the volume of the board in cubic feet, you can use the formula for the volume of a rectangular prism, which is:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
First, we need to convert all the dimensions to feet. The given dimensions are:
- Thickness (height): 1½ inches = 1.5 inches = \( \frac{1.5}{12} \) feet = 0.125 feet
- Width: 5 inches = \( \frac{5}{12} \) feet ≈ 0.41667 feet
- Length: 3 feet
Now we can calculate the volume:
\[
\text{Volume} = 3 \text{ ft} \times 0.41667 \text{ ft} \times 0.125 \text{ ft}
\]
Calculating that:
\[
\text{Volume} = 3 \times 0.41667 \times 0.125 \approx 0.15625 \text{ cubic feet}
\]
So, the volume of the board is approximately **0.15625 cubic feet**.
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
First, we need to convert all the dimensions to feet. The given dimensions are:
- Thickness (height): 1½ inches = 1.5 inches = \( \frac{1.5}{12} \) feet = 0.125 feet
- Width: 5 inches = \( \frac{5}{12} \) feet ≈ 0.41667 feet
- Length: 3 feet
Now we can calculate the volume:
\[
\text{Volume} = 3 \text{ ft} \times 0.41667 \text{ ft} \times 0.125 \text{ ft}
\]
Calculating that:
\[
\text{Volume} = 3 \times 0.41667 \times 0.125 \approx 0.15625 \text{ cubic feet}
\]
So, the volume of the board is approximately **0.15625 cubic feet**.