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Q: Find the lateral area of a regular pentagonal pyramid that has a slant height of 14in and a base side length of 6 in?
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Is a pentagonal pyramid a hexahedron or pentahedron?

In geometry, a pentagonal pyramid is a pyramid with a pentagonal base upon which are erected five triangular faces that meet at a point (the vertex). Like any pyramid, it is self-dual.The regular pentagonal pyramid has a base that is a regular pentagon and lateral faces that are equilateral triangles. It is one of the Johnson solids (J2). Its height H, from the midpoint of the pentagonal face to the apexIt can be seen as the "lid" of an icosahedron; the rest of the icosahedron forms a gyroelongated pentagonal pyramid, J11. The 92 Johnson solids were named and described by Norman Johnson in 1966.More generally an order-2 vertex-uniform pentagonal pyramid can be defined with a regular pentagonal base and 5 isosceles triangle sides of any height.


In the equation for the lateral area of a regular pyramid one can replace the slant height with the altitude of the pyramid?

False


How do you find lateral area of a square pyramid?

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.


When p is the perimeter of the base and s the slant height of a regular pyramid What is a valid formula for the lateral area?

LA=1/2ps


Is the lateral edge of a pyramid is also its slant height?

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.


What is the height of each lateral face of a pyramid called?

The height of each lateral face of an unspecified object is unknowable.


What happens to the lateral sides of a pyramid when the height of the pyramid is increased and the size of the base is decreased?

The lateral sides get taller and narrower. (:


What would be the formula for the lateral area of a regular pyramid where the base is a square with perimeter p and s is the slant height?

LA = 1/2psnewtest3


Let p be the perimeter of the base and s the slant height of a regular pyramid What is a valid formula for the lateral area?

LA=1/2ps


How do you find the volume of a pentagonal pyramid?

Basically, the same as the volume of any other pyramid: the volume is (1/3) x base x height. The "base" refers to the area of the base; for instance, if the base is a regular pentagon, use the formula for a regular pentagon.


When you see a picture of a right pyramid with a regular polygon base how do you identify its height and its slant height?

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.


If the height increases what happens to the lateral sides of a pyramid when you decrease the size of the base?

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.