Answer:
[tex]\boxed {\boxed {\sf D. \ V \approx 668.2 \ ft^3}}[/tex]
Step-by-step explanation:
The volume of a triangular prism is found using this formula:
[tex]V=\frac{1}{2} bhl[/tex]
For this prism, the base is 8.6 feet, the height is 8.4 feet, and the length is 18.5 feet.
[tex]b= 8.6 \ ft \\h= 8.4 \ ft \\l= 18.5 \ ft[/tex]
Substitute the values into the formula.
[tex]V= \frac{1}{2} (8.6 \ ft) (8.4 \ ft) ( 18.5 \ ft)[/tex]
Multiply the first two numbers in parentheses.
[tex]V= \frac{1}{2} (72.24 \ ft^2) ( 18.5 \ ft)[/tex]
Multiply again.
[tex]V= \frac{ 1}{2} (1336.44 \ ft^3)[/tex]
Multiply by 1/2 or divide by 2.
[tex]V= 668.22 \ ft^3[/tex]
Round to the nearest tenth. The 2 in the hundredth place tells us to leave the 2 in the tenth place.
[tex]V \approx 668.2 \ ft^3[/tex]
The volume is about 668.2 cubic feet.
