Calculate Width from Volume: 880 cm³ Rectangular Prism with Height 10 cm

To find the width of the rectangular prism, we'll start by using the formula for the volume of a rectangular prism:

$V = \text{length} \times \text{width} \times \text{height}$

We are given that the volume $V = 880 \, \text{cm}^3$, the length $\text{length} = 8 \, \text{cm}$, and the height $\text{height} = 10 \, \text{cm}$. We need to find the width, which we'll denote as $w$.

Substitute the known values into the formula:

$880 = 8 \times w \times 10$

Simplify the equation:

$880 = 80 \times w$

To solve for $w$, divide both sides of the equation by 80:

$w = \frac{880}{80}$

Simplify the fraction:

$w = 11$

Therefore, the width of the rectangular prism is $\textbf{11 cm}$.