Respuesta :

reinhard10158

Step-by-step explanation:

the total surface area is the sum of the individual areas.

we have the ground area : a 6×6 square. = 36 cm²

and we have 4 equal triangles.

the area of a triangle is baseline × height / 2.

which is for each of these triangles

6 × 12 / 2 = 3 × 12 = 36 cm²

so, the total surface area of the pyramid is

36 + 4×36 = 5×36 = 180 cm²

Solution:

We know that:

  • Surface area of square pyramid = Sum of the area of the faces.

This means that:

  • Surface area of square pyramid = Area of square + 4(Area of triangle)

First, let's find the area of the triangle and square. Then, substitute them in the surface area equation to find the surface area of the pyramid.

Finding the area of a triangle:

  • 1/2 x 12 x 6
  • => 6 x 6
  • => 36 cm²

Finding the area of a square:

  • 6 x 6
  • => 36 cm²

Finding the surface area of the pyramid:

  • Surface area of square pyramid = Area of square + 4(Area of triangle)
  • Surface area of square pyramid = 36 + 4(36)
  • => 36 + 144
  • => 180 cm²

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