Answer:
[tex] \displaystyle V_{ \text{H - prism}} = 351 {yd}^{3} [/tex]
Step-by-step explanation:
we are given a hexagonal prism
we want to figure out the Volume
remember that,
[tex] \displaystyle V_{ \text{H - prism}} = {a}^{} sh[/tex]
where a is the asymptote ,s is the side length and h is the height
given that,s=9,a=7.8 and h=5
substitute:
[tex] \displaystyle V_{ \text{H - prism}} = {7.8}^{} \times 9 \times 5[/tex]
simplify multiplication:
[tex] \displaystyle V_{ \text{H - prism}} = 351[/tex]
hence the Volume of the given figure is 351 yd³
