First, find the area of the hexagonal base. We know the length of each side of the hexagon is 10 . We can find the area of one of the central equilateral triangles and multiply that area by 6 . Use the rules of a 30∘−60∘−90∘ right triangle, to find the height of the triangle is 53​.The area of the triangle isA=21​×10×53​=253​Area of hexagon is 6(253​)=1503​ft2.Substitute B=1503​ and h=3. The volume of the prism is V=Bh=(1503​)×13=1,9503​ft3.