Respuesta :

we know that
volume of the prism=area of the base*height
height=24 yd

area of the base
is a equilateral triangle
so
the internal angles are 60 degrees
with the law of sine calculate the area
Area=(1/2)*a*b*sin C-----> (1/2)*13*13*sin 60-----> (1/2)*13*13*√3/2
Area=73.18 yd²

volume of the prism=73.18*24-----> 1756.30 yd³

the answer is
1756.3 yd³