A 25 ft. 6 inches long piece of wood is cut to make three piece of equal length. The length of one piece is

Options

A. 8ft. 1 inch
B. 8ft. 6 inch
C. 8ft. 3 inch
D. 8ft. 4 inch

Explanation

To solve the problem of finding the length of one piece of wood when a 25 ft 6 in long piece is cut into three equal parts, we can follow these steps:

### Step 1: Convert the total length into inches
First, we need to convert the entire length of the wood from feet and inches into just inches for easier calculations.

- There are 12 inches in a foot.
- The total length in feet is 25 ft, which we convert to inches:
\[ 25 \text{ ft} = 25 \times 12 = 300 \text{ inches} \]
- Now, we add the additional 6 inches:
\[ \text{Total length in inches} = 300 \text{ inches} + 6 \text{ inches} = 306 \text{ inches} \]

### Step 2: Divide the total length by 3
Next, we need to divide the total length in inches by 3 to find the length of one piece.

\[ \text{Length of one piece} = \frac{306 \text{ inches}}{3} = 102 \text{ inches} \]

### Step 3: Convert the length back to feet and inches
Finally, we convert the length of one piece back into feet and inches.

- To convert 102 inches back to feet:
\[ \text{Feet} = \left\lfloor \frac{102}{12} \right\rfloor = 8 \text{ feet} \]
- To find the remaining inches:
\[ \text{Inches} = 102 - (8 \times 12) = 102 - 96 = 6 \text{ inches} \]

Thus, the length of one piece of wood is **8 feet 6 inches**.

### Final Answer:
The length of one piece is **8 ft 6 in**.

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