What is the slant height?

1 : the length of an element of a right circular cone. 2 : the altitude of a side of a regular pyramid.

Why is the slant height is longer than the height?

The slant height is going to be a bit more than the base depth because the distance from the corner of the base edge to the top peak (representing slant height) is greater than the distance from the center of the base edge straight up to the top peak (representing base depth). …

Is slant height the same as length?

The slant height of a cone or pyramid is the length of a segment from the vertex point to the base along the outside of the shape. The altitude of a cone or pyramid is the length of a segment from the vertex point to center of the base inside of the shape, forming a right angle at the base.

How can we find slant height?

The slant height of an object (such as a cone, or pyramid) is the distance along the curved surface, drawn from the edge at the top to a point on the circumference of the circle at the base….s=√h2+b22

  1. s = slant height.
  2. h = vertical height.
  3. b = base.

How do you find the height of a square pyramid given the base and slant height?

The height of a square pyramid is given by √s2−(a2)2. Here s is the slant height of the square pyramid and a is the length of the square base edge. The volume of the square pyramid is given by a2(h3) .

What is the slant height of a pyramid?

The slant height of an object (such as a frustum, or pyramid) is the distance measured along a lateral face from the base to the apex along the “center” of the face. In other words, it is the altitude of the triangle comprising a lateral face (Kern and Bland 1948, p.

What is the height of the cone if the slant height is 13 cm?

Now, using the formula, l=√r2+h2, where l= slant height of the cone, r= radius of the cone, h= height of the cone. Hence, the height of the cone is 12 cm. So, the correct option is C. 12 cm.