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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.
What is the slant height of a pyramid that has all sides as equilateral triangles with sides of length of 9 cm and the surface area of the pyramid is 140.4 square cm?
The surface area of the pyramid is superfluous to calculating the slant height as the slant height is the height of the triangular side of the pyramid which can be worked out using Pythagoras on the side lengths of the equilateral triangle: side² = height² + (½side)² → height² = side² - ¼side² → height² = (1 - ¼)side² → height² = ¾side² → height = (√3)/2 side → slant height = (√3)/2 × 9cm = 4.5 × √3 cm ≈ 7.8 cm. ---------------------------- However, the surface area can be used as a check: 140.4 cm² ÷ (½ × 9 cm × 7.8 cm) = 140.4 cm² ÷ 35.1 cm² = 4 So the pyramid comprises 4 equilateral triangles - one for the base and 3 for the sides; it is a tetrahedron.
Which is the volume of a square pyramid with height 15 m and slant height 17 m?
Volume of the pyramid: 1/3*base area*height in cubic m
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.
What is the surface area of the right square pyramid in square meters?
It depends on the dimensions of the base and the height (slant or vertical) of the pyramid.
The slant height of a pyramid and the altitude of a pyramid are congurent?
false
What is the slant height of a square pyramid if the height is 24Cm and the base edges are 14Cm?
The slant height will be 25 cm
What is the height of the triangular faces of a pyramid called?
The height of the triangular face of a pyramid is called the slant height.
Is the height of a right pyramid longer than its slant height?
no
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.
Slant height and the altitude of a pyramid are the same thing?
No.
The slant height of a pyramid and the altitude of a pyramid are equal true or false?
False
The slant height of a pyramid and the altitude of a pyramid are congruent true or false?
False...
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
What is the difference between the height and the slant height of a pyramid?
I would think that the slant is about 5m taller, although some pyramids have a different slant, so it depends.
How do you find the slant height of a a pyramid?
I don't know not mine
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.
