Question

A square pyramid is made using a square and four triangles with dimensions as shown below.

What would be the height of the pyramid?

What if the square and triangles are like these?

Answer 1

(1)

Edge of the square base, b = 24 cm

Slant height of the square pyramid, l = Height of the triangle = 18 cm

We know that , where h is the height of the square pyramid.

⇒

∴ Height of the square pyramid is

(2)

Side of the square = 24 cm

Length of diagonal of the square, d =

Length of lateral edge, e = 30 cm

We know that, where h is the height of the square pyramid.

⇒

⇒ h =

Thus, the height of the square pyramid is