The perimeter of the base of the regular quadrilateral pyramid is p = 30 cm. find the sum of all edges of this pyramid, if the perimeter of a lateral face is 27.5 cm

If the perimeter of the base of the regular quadrilateral pyramid is P = 30 cm. and  the perimeter of a lateral face is 27.5 cm then sum of all edges of this pyramid is 110cm

A pyramid with square base is known as regular quadrilateral pyramid.

We know that perimeter of base of  regular quadrilateral pyramid is equal to 4 times side of base

So side of base can be calculated as :

Side = 30/4

side = 15/2

Side = 7.5 cm

We know perimeter of lateral face is equal to side of base + 2 side of  lateral face.

Hence  2 side of  lateral face = perimeter of lateral face  - side of base

2 side of lateral face= 27.5-7.5=20

side of lateral face=20/2 =10

Sum of all edges = 4  Side of lateral face+ 4  Side of base

=410+ 47.5=70 cm

If the perimeter of the base of the regular quadrilateral pyramid is P = 30 cm. and  the perimeter of a lateral face is 27.5 cm then sum of all edges of this pyramid is 110cm

To learn more about perimeter visit :link

y=1/4x-4

step-by-step explanation: