Since there is only one slant height given, I am assuming that the pyramid is a right pyramid: that is, the apex is directly above the centre of the hexagonal base.
Unfortunately, the numbers simply do not work out. If the sides of the hexagon are 4 ft, then the centre of the hexagon is 2*sqrt(3) feet from the middle of side.
The triangle formed by the mid point of a side, the apex and the point below the apex from a right angled triangle. By Pythagoras, this would require
(Vertical height)^2 + (Distance from Mid-point of side)^2 = (Slant height)^2
that is 7^2 + 12 = 9^2 which implies that 12 = 32 which is clearly not possible.
210 in 2
The lateral area is the perimeter of the hexagon times the height (altitude length) of the prism. Same for any other prism.
Find th elateral area of a rectangular pyramid having height 9 , base lenght 6 and base width 7
It is 448 square cm.
(1/2 B)h another way is Lateral area + base area. Lateral area is 1/2 perimeter*slant height. You use this if you dont know the height but know the slant. or if you just like to do it this way
False
You need some information about the height of the pyramid and the formula will depend on whether you have the vertical height or the slant height or the length of a lateral edge.
No, the slant height is the from the top vertex to the base of the base of the pyramid, it forms a 90 degree angle with the base and slant height. The lateral edge is literally the lateral (side) edge.
210 in 2
LA=1/2ps
The height of each lateral face of an unspecified object is unknowable.
The lateral sides get taller and narrower. (:
LA = 1/2psnewtest3
LA=1/2ps
Its vertical height is that of the perpendicular from the centre of the base to the apex; the slant height is the length of the sloping "corner" between two faces. The height of a regular pyramid is the vertical distance from the center of base to the top and is usually shown with a line perpendicular to the base, denoted with a right angle to the base. The slant height it the height of the lateral face (the triangles) from the edge of the base to the top of the pyramid. It is the height of the triangle, not the pyramid itself. The slant height will also be the hypotenuse of a right angle formed from the altitude of the pyramid and the distance from the center of the base to the edge.
The lateral sides of a pyramid are going to be more steep if the size of the base is decreased. The pyramid will not be stable enough to stand on its own.
Probably you meant to ask what is the lateral area of a hexagonal prism. In that case, it would be the perimeter of one of the bases times the height.