The regular hexagon consists of 6 equilateral triangles. So the area of the regular hexagon is the sum of the areas of 6 equilateral triangles. Since the area of the equilateral triangle with side
length of a is 43​​a2, the area of the equilateral triangle with side length of 4 is 43​​(4)2=43​. The area of the hexagon is 6×43​=243​. Volume of the pyramid
=31​Bh=31​(243​)(7)=563​