## Answer :

1. Start with the given formula for the volume of a rectangular prism:

[tex]\[ V = l \cdot w \cdot h \][/tex]

2. To isolate [tex]\( w \)[/tex], divide both sides of the equation by [tex]\( l \cdot h \)[/tex]:

[tex]\[ \frac{V}{l \cdot h} = w \][/tex]

So, the formula to find the width [tex]\( w \)[/tex] of the base of the prism is:

[tex]\[ w = \frac{V}{l \cdot h} \][/tex]

Plugging in the known values [tex]\( V = 27 \)[/tex], [tex]\( l = 3 \)[/tex], and [tex]\( h = 3 \)[/tex], we get:

[tex]\[ w = \frac{27}{3 \cdot 3} \][/tex]

Thus, the width [tex]\( w \)[/tex] of the base of the prism is:

[tex]\[ w = 3.0 \][/tex]