Home › Kerala SSLC (Class 10) › mathematics › Pyramids › All edges of a square pyramid are 18 cm (base ed…
All edges of a square pyramid are 18 cm (base edges and lateral edges both 18 cm). Its slant height equals:
Answer & Solution
Correct answer: C.
1. The slant height runs from the midpoint of a base edge up to the apex on a triangular face.
2. That triangular face is equilateral with side 18 (since base edge = lateral edge = 18).
3. Slant height = height of the equilateral triangle = 18 × (√3/2) = 9√3 cm.
4. About 15.59 cm.
5. So the slant height is 9√3 cm.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 7-8 (pp 180-199, 2019 ed.)._
Related questions
In any square pyramid, which of the following squared quantities are in arithmetic progresThe Great Pyramid of Giza in Egypt has a roughly square base with side close to half a lakTwo square pyramids have equal volumes. The base edge of one is half the base edge of the A metal cube of edge 15 cm is melted and recast into a square pyramid with base edge 25 cmThe volume of a square pyramid of base edge 10 cm and vertical height 8 cm equals:Continuing the tent problem (base 6 m, height 4 m, slant height 5 m), the area of canvas nA tent in the shape of a square pyramid has base edges 6 m and vertical height 4 m. The slIn a square pyramid the pyramid's vertical height h, slant height l and half the base edge