To find the width ([tex]\(w\)[/tex]) of the base of a rectangular prism given the volume ([tex]\(V\)[/tex]), length ([tex]\(l\)[/tex]), and height ([tex]\(h\)[/tex]), you can use the following steps:
The volume [tex]\(V\)[/tex] of a rectangular prism is given by the formula:
[tex]\[ V = l \cdot w \cdot h \][/tex]
Here:
- [tex]\(V\)[/tex] is the volume
- [tex]\(l\)[/tex] is the length of the base
- [tex]\(w\)[/tex] is the width of the base
- [tex]\(h\)[/tex] is the height of the prism
To isolate [tex]\(w\)[/tex], rearrange the formula as follows:
1. Start with the volume formula:
[tex]\[ V = l \cdot w \cdot h \][/tex]
2. To solve for [tex]\(w\)[/tex], divide both sides of the equation by [tex]\((l \cdot h)\)[/tex]:
[tex]\[ w = \frac{V}{l \cdot h} \][/tex]
So, the correct formula to find the width [tex]\(w\)[/tex] of the base of the rectangular prism is:
[tex]\[ w = \frac{V}{l \cdot h} \][/tex]
You can use this formula to calculate the width if the volume, length, and height are known.
