What is the total surface area of this square pyramid?

A square pyramid. The square base has side lengths of 9 millimeters. The triangular sides have a height of 12 millimeters.

_____________ mm2
189
216
297
378

Respuesta :

Answer: The correct answer is 297 (C)

Step-by-step explanation: I got it correct!!. Hope this helps :)

The area of a 2D form is the amount of space within its perimeter. The total surface area of the square base pyramid is 297mm².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The total surface area of the square pyramid is the sum of the area of the triangles and the area of the base. Therefore, the total surface area is equal to,

Total surface area = Area of square base + 4(Area of a triangular face)

                               = (9mm)² + 4(0.5×9×12)mm²

                               = 81mm² + 216mm²

                               = 297mm²

Hence, the total surface area of the square base pyramid is 297mm².

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