Answer:
Correct answer: V = 12,733,17 cm³
Step-by-step explanation:
This is a regular six-sided prism.
Given:
The base edge a = 13 cm
Prism height H = 29 cm
The base of this prism is a regular hexagon consisting of six equilateral triangles.
The area of one equilateral triangle is:
A₁ = (a² · √3) / 4
Area of the base is:
B = 6 · A₁ = 6 · (a²· √3) / 4
B = 6 · (13² · √3) / 4 = 3 · 169 · √3 / 2 = 439.07 cm²
B = 439.07 cm²
The volume of the prism is:
V = B · H = 439.07 · 29 = 12,733,17 cm³
V = 12,733,17 cm³
God is with you!!!
