[tex]\displaystyle\\
V= \frac{A_b \times \^I}{3} \\\\
A_b = \frac{l^2\sqrt{3} }{4}= \frac{10^2\sqrt{3} }{4}=\frac{100\sqrt{3} }{4}=\boxed{\bf 25\sqrt{3}~cm^2}\\\\
V= \frac{A_b \times \^I}{3} = \frac{25\sqrt{3} \times 10}{3} =
\boxed{\bf \frac{250\sqrt{3} }{3}~cm^3}
[/tex]