6. \( \begin{aligned} V & =2304 \mathrm{~cm}^{3}, l=32 \mathrm{c} \\ w & =? \mathrm{~cm}, h=8 \mathrm{~cm}\end{aligned} \)

To find the width \( w \) of the rectangular prism, we can use the formula for the volume of a rectangular prism, which is \( V = l \times w \times h \). Given: - Volume \( V = 2304 \, \text{cm}^3 \) - Length \( l = 32 \, \text{cm} \) - Height \( h = 8 \, \text{cm} \) We can rearrange the formula to solve for \( w \): \[ w = \frac{V}{l \times h} \] Now plug in the values: \[ w = \frac{2304 \, \text{cm}^3}{32 \, \text{cm} \times 8 \, \text{cm}} = \frac{2304}{256} = 9 \, \text{cm} \] Thus, the width \( w \) is \( 9 \, \text{cm} \).