To find the width of a rectangular prism, you can use the formula for the volume of a rectangular prism:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
Given:
- Volume = 6,142.5 cm³
- Length = 28 cm
- Height = 16.25 cm
We can rearrange the formula to solve for width:
\[ \text{width} = \frac{\text{Volume}}{\text{length} \times \text{height}} \]
Now, plug in the given values:
\[ \text{width} = \frac{6,142.5 , \text{cm}^3}{28 , \text{cm} \times 16.25 , \text{cm}} \]
Calculate the denominator:
\[ 28 , \text{cm} \times 16.25 , \text{cm} = 455 , \text{cm}^2 \]
Now divide the volume by the product of length and height:
\[ \text{width} = \frac{6,142.5 , \text{cm}^3}{455 , \text{cm}^2} \approx 13.5 , \text{cm} \]
Thus, the value of the width is approximately 13.5 cm.