Answer:
[tex]310.35cm^3[/tex]
Step-by-step explanation:
Volume of a Prism=Base Area X Height
The base is an equilateral triangle of side 8cm.
We can find the area of the triangle using Herons Formula.
Given a triangle with sides a,b and c
Area[tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where:
Semiperimeter, s[tex]=\frac{a+b+c}{2}[/tex]
The sides are of length 8cm, 8cm and 8cm.
Therefore:
s[tex]=\frac{8+8+8}{2}=12cm[/tex]
Area[tex]=\sqrt{12(12-8)(12-8)(12-8)}=27.71cm^2[/tex]
Since Base Area =27.71cm^2
Volume=27.71*11.2
[tex]=310.35cm^3[/tex]
