Question

Work is apreciated! If you could also say what shape this is with the formula also!

Answer 1

`\displaystyle V_{ \text{H - prism}} = 351 {yd}^(3)`

Explanation:

we are given a hexagonal prism

we want to figure out the Volume

remember that,

`\displaystyle V_{ \text{H - prism}} = {a}^{} sh`

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:

`\displaystyle V_{ \text{H - prism}} = {7.8}^{} * 9 * 5`

simplify multiplication:

`\displaystyle V_{ \text{H - prism}} = 351`

hence the Volume of the given figure is 351 yd³