Question

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

Answer 1

In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases.

Faces: 2+ n

Edges: 3n

Vertices: 2n

Symmetry group: Dnh,, (*n22), order 4n

Dual polyhedron: convex dual-uniform n-gonal bipyramid

Conway polyhedron notation: Pn

Rotation group: Dn,+, (n22), order 2n

formula :- The base area of a rectangular prism formula = base length x base width. The base area of a triangular prism formula = ½ x apothem length x base length. The base area of a pentagonal prism formula = 5/2 x apothem length x base length. The base area of a hexagonal prism formula = 3 x apothem length x base length.

Answer 2

Answer:

$\displaystyle V_{ \text{H - prism}} = 351 {yd}^{3}$

Step-by-step 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:

$\displaystyle V_{ \text{H - prism}} = {7.8}^{} \times 9 \times 5$

simplify multiplication:

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

hence the Volume of the given figure is 351 yd³