Answer: [tex]1590cm^3[/tex]
Step-by-step explanation:
[tex]V=\frac{3\sqrt{3} }{2}a^2h[/tex]
a = base
h = height
[tex]V=\frac{3\sqrt{3} }{2}(6cm)^2(17cm)[/tex]
Solve the parentheses squared first.
[tex]V=\frac{3\sqrt{3} }{2}(36cm^2)(17cm)[/tex]
2 and 36 can be simplied
2/2=1
36/2=18
[tex]V=3\sqrt{3}(18cm^2)(17cm)[/tex]
[tex]V=3\sqrt{3}(306cm^3)\\ V=1590.02cm^3[/tex]
Rounded to the nearest whole number... [tex]1590cm^3[/tex]
