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hjlf
2 years ago
14

PLEASE HELP 100 POINTS

Mathematics
2 answers:
Karolina [17]2 years ago
8 0

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

attashe74 [19]2 years ago
5 0

Solution:

<u>We know that:</u>

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

<u>This means that:</u>

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

<em>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.</em>

<u>Finding the area of a triangle:</u>

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

<u>Finding the area of a square:</u>

  • 6 x 6
  • => 36 cm²

<u>Finding the surface area of the pyramid:</u>

  • 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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