Please help me find the surface area of this right prism. ASAP please. Thank you ~

Answer:[tex]\large\boxed{V=\dfrac{75\sqrt3}{2}\approx64.95}\\\boxed{S.A.=\dfrac{160+25\sqrt3}{2}}[/tex]Step-by-step explanation:The formula of a volume of a prism:[tex]V=BH[/tex]B - base areaH - heightIn the base we have the equilateral triangle. The formula of an area of an equilateral triangle with side a:[tex]A=\dfrac{a^2\sqrt3}{4}[/tex]Substitute a = 5:[tex]B=\dfrac{5^2\sqrt3}{4}=\dfrac{25\sqrt3}{4}[/tex]H = 6.Calculate the volume:[tex]V=\left(\dfrac{25\sqrt3}{4}\right)(6)=\dfrac{75\sqrt3}{2}[/tex]The formula of a Surface Area:[tex]S.A.=2B+PH[/tex]B - base areaP - perimeter of a baseH - heightCalculate P:  [tex]P=5+5+5=15[/tex]Substitute:[tex]S.A.=2\left(\dfrac{25\sqrt3}{4}\right)+(15)(6)=\dfrac{25\sqrt3}{2}+80=\dfrac{160+25\sqrt3}{2}[/tex]