What is the surface area of a square pyramid with a height of 12 mm and a base that measures 10 mm on each side? Round to the nearest tenth if necessary.

Respuesta :

The surface area is given by:
 AS = Ab + Al
 Where,
 Ab: base area
 Al: lateral area
 We have then:
 The area of the base is:
 Ab = (10) * (10) = 100 mm ^ 2
 The lateral area is:
 Al = (4) * (1/2) * (10) * (root ((12) ^ 2 + (5) ^ 2))
 Al = 260 mm ^ 2
 The surface area is:
 AS = 100 + 260
 AS = 360 mm ^ 2
 Answer:
 
The surface area of a square pyramid is:
 
AS = 360 mm ^ 2