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Q: Is the height of a right pyramid longer than its slant height?
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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.


The slant height of a pyramid and the altitude of a pyramid are not the same thing?

True, because the slant height and the altitude, or height, of the pyramid form one leg and the hypotenuse of a triangle withing the pyramid, and the hypotenuse of a triangle is always the longest side- it is not possible for the hypotenuse to be equal to the legs of a right triangle. (It is a right triangle because an altitude is perpendicular to the base of a pyramid.)


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.


Slant height and the altitude of a pyramid are the same thing?

No.

Related questions

What is the slant height of the pyramid Louvre in Paris?

slant height of the pyramid Louvre in Paris=28 meters


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.


The slant height of a pyramid and the altitude of a pyramid are not the same thing?

True, because the slant height and the altitude, or height, of the pyramid form one leg and the hypotenuse of a triangle withing the pyramid, and the hypotenuse of a triangle is always the longest side- it is not possible for the hypotenuse to be equal to the legs of a right triangle. (It is a right triangle because an altitude is perpendicular to the base of a pyramid.)


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


How do you find the slant height of a pyramid with a rectangular base?

If you make a line from the top of the pyramid to the center of the base, you have the height of the pyramid. This meets at the midsegment of a line going across the base. Since the height of a pyramid is perpendicular with the base, get this: the height, a line of 1/2 the length of the base, and the slant height form a right triangle. So, you can use the Pythagorean Theorem! For example, if the base length is 6 and the height of the pyramid is 4, then you can plug them into the Pythagorean Theorem (a squared + b squared = c squared, a and b being the legs of a right triangle and c being the hypotenuse). 1/2 the length of the base would be 6 divided by 2=3. 3 squared + 4 squared = slant height squared. 9+16=slant height squared. 25= slant height squared. Slant height=5 units. You're welcome!


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 congruent true or false?

False...


The slant height of a pyramid and the altitude of a pyramid are equal true or false?

False