Answer:
[tex]\large\boxed{V=618\dfrac{3}{4}\ yd^3}[/tex]
Step-by-step explanation:
The formula of a volume of a rectangular prism:
[tex]V=lwh[/tex]
l - length
w - width
h - height
We have:
[tex]l=5\ yd,\ w=10\ yd,\ h=12\dfrac{3}{8}\ yd=\dfrac{12\cdot8+3}{8}\ yd=\dfrac{99}{8}\ yd[/tex]
Substitute:
[tex]V=5\cdot10\cdot\dfrac{99}{8}=5\cdot5\cdot\dfrac{99}{4}=\dfrac{2475}{4}=618\dfrac{3}{4}[/tex]
