find the volume of the prism.

Explanation:

Step1: Convert mixed - numbers to improper fractions

$8\frac{1}{3}=\frac{8\times3 + 1}{3}=\frac{25}{3}$ yd, $4\frac{1}{5}=\frac{4\times5+1}{5}=\frac{21}{5}$ yd.

Step2: Use the volume formula for a rectangular prism $V = l\times w\times h$

$V=\frac{25}{3}\times\frac{21}{5}\times6$.

Step3: First, simplify $\frac{25}{3}\times\frac{21}{5}$

$\frac{25}{3}\times\frac{21}{5}=\frac{25\times21}{3\times5}=\frac{525}{15} = 35$.

Step4: Then multiply by 6

$V=35\times6 = 210$ yd³.

Answer:

210 yd³