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Is it true that the height of a regular pyramid is the height of a lateral face?
No, it is not true that the height of a regular pyramid is the height of a lateral face. The height of a regular pyramid is defined as the perpendicular distance from the apex (top vertex) to the base. In contrast, the height of a lateral face (triangular face) is the perpendicular distance from the apex to the base of that triangular face, which is not necessarily the same as the pyramid's overall height.
What is the shape of one lateral face of a frustum of a regular pyramid?
An isosceles trapezium.
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
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
What is a point that is included in both the altitude and the slant heights of a regular pyramid?
In a regular pyramid, the apex (the top point where all the triangular faces meet) is included in both the altitude and the slant heights. The altitude is the perpendicular height from the apex to the base, while the slant height is the distance from the apex to the midpoint of a side of the base, along the triangular face. Therefore, the apex serves as the common point for both measurements.
Find the volume and lateral surface area of a frustum of a regular pyramid whose altitude is 30cm and whose base edges are 10cm and 20cm respectively?
first tell me the formula
Is it true that the height of a regular pyramid is the height of a lateral face?
No, it is not true that the height of a regular pyramid is the height of a lateral face. The height of a regular pyramid is defined as the perpendicular distance from the apex (top vertex) to the base. In contrast, the height of a lateral face (triangular face) is the perpendicular distance from the apex to the base of that triangular face, which is not necessarily the same as the pyramid's overall height.
What is the shape of one lateral face of a frustum of a regular pyramid?
An isosceles trapezium.
Can a regular square pyramid have base 12 and lateral edge 29?
Yes.
What is the surface area of a regular triangular pyramid with the lateral surface area of 72cm?
It is 288 cm^2.
Is The slant height of a regular square pyramid is longer than its altitude?
Yes, the slant height of a regular square pyramid is longer than its altitude. The altitude is the perpendicular height from the apex to the center of the base, while the slant height is the distance from the apex to the midpoint of a side of the base. In a right triangle formed by the altitude, half the base side, and the slant height, the slant height serves as the hypotenuse, making it inherently longer than the altitude.
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
Find the lateral area of a regular pentagonal pyramid that has a slant height of 14in and a base side length of 6 in?
210 in 2
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
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
What is a point that is included in both the altitude and the slant heights of a regular pyramid?
In a regular pyramid, the apex (the top point where all the triangular faces meet) is included in both the altitude and the slant heights. The altitude is the perpendicular height from the apex to the base, while the slant height is the distance from the apex to the midpoint of a side of the base, along the triangular face. Therefore, the apex serves as the common point for both measurements.
What is the definition of a regular pyramid?
A regular pyramid is a right pyramid whose base is a regular polygon. There are only three regular pyramids: a regular tetrahedron, a regular square pyramid, and a regular pentagonal pyramid.
