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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
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.
What is the surface area of a square pyramid when 4 is the side length and 13 as the slant height?
120
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
Is the height of a right pyramid longer than its slant height?
no
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 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
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.
