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What is the slant height of a square pyramid?
The slant height of a square pyramid is always perpendicular to the base. It is form the top vertex all the way down to the most center of one side of the base edge.
What is slant edge of a cone?
slant edge is a height of a cone
What is the volume of a square pyramid with height of 3.25 yd and a base edge of 5.5 yds?
5.5^2*3.25/3
Find the volume of a square pyramid with base edges of 21 feet and a height of 18 feet?
Volume of this pyramid is (area of base) x (height) / 3. The area of the base (square) is (edge)2 So (21 ft)2 * (18 ft)/3 = 26586 cubic feet
What is lateral faces?
The lateral face for a prism or pyramid is any edge or face which is not part of a base.
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.
Why the slant height of a regular square pyramid must be greater than the base edge length?
The slant height of a regular square pyramid is the distance from the apex to the midpoint of a base edge, forming a right triangle with half the base edge and the vertical height of the pyramid. Since the slant height is the hypotenuse of this triangle, it must be greater than either leg due to the Pythagorean theorem. Therefore, the slant height must be greater than the base edge length, ensuring that the apex is above the base.
A pyramid has a square base with sides 8 and a slant height of 5?
This pyramid would have a perpendicular height of 3, a volume of 64 units3 and a slant edge of 6.403
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.
What is the slant height of a square pyramid?
The slant height of a square pyramid is always perpendicular to the base. It is form the top vertex all the way down to the most center of one side of the base edge.
What is the height if each lateral face of a pyramid?
The height of each lateral face of a pyramid, often referred to as the slant height, is the distance from the apex (top point) of the pyramid to the midpoint of the base edge of that face. This measurement is crucial for calculating the surface area of the pyramid's lateral faces. The slant height can be determined using the Pythagorean theorem if the vertical height of the pyramid and half the base edge length are known. It is important to differentiate between the vertical height and the slant height when discussing pyramids.
How do you find the slant height of a hexagonal pyramid give the height is 13.75 and the lateral edge is 15?
use formula bh/2. Substitute base with 15 and height with 13.75 and divide the product by two. That is the slant height.
Why you need the slant height of a pyramid?
The slant height of a pyramid is crucial for calculating the surface area and volume of the structure. It represents the distance from the apex of the pyramid to the midpoint of a base edge, which is essential for determining the area of the triangular faces. Additionally, knowing the slant height helps in practical applications, such as materials estimation for construction or design purposes, ensuring accurate and efficient project planning.
What is the distance from the vertex of a right cone or right pyramid to a point on the edge of the base?
The distance from the vertex of a right cone or right pyramid to a point on the edge of the base can be determined using the Pythagorean theorem. This distance is the hypotenuse of a right triangle formed by the height of the cone or pyramid, the radius of the base (for a cone) or the apothem (for a pyramid), and the slant height as the hypotenuse. For a cone, the distance is calculated as (d = \sqrt{h^2 + r^2}), where (h) is the height and (r) is the radius. For a pyramid, the formula would involve the height and the apothem of the base.
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.
What is the height of the pyramid 56 cubic centimeters base edge 8 centimeters base height 7 centimeters?
Volume of a pyramid = 1/3*base area*height Height of a pyramid = (3*volume)/base area
What is slant edge of a cone?
slant edge is a height of a cone
