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27cm²

Step-by-step explanation:

Surface Area of this pyramid = Area of Square + 4 x Area of the triangles.

Calculating,

Area of Sqaure = 3x3 = 9cm²

Area of the 4 triangles = 4 x 1/2 x 3 x 3 = 18cm²

Therfore, Total Surface Area = 27cm²

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From the figure, we can notice that : Surface area of the pyramid is equal to Sum of the area of the square and Sum of the areas of 4 triangles.

We know that : Area of a square is given by : Side x Side

Given : Side of the square = 3 cm

⇒  Area of the square = 3 x 3 = 9 cm²

We know that : Area of the triangle = 1/2 x Base x Height

From the figure, We can notice that, Base of each triangle = 3 cm and height of the each triangle = 3 cm

⇒ Area of one triangle = 1/2 × 3 × 3 = 4.5 cm²

Surface area of the pyramid = Surface of the square + Surface area of the 4 triangles

⇒  Surface area of the pyramid = 9 cm² + 4(4.5) cm²

⇒  Surface area of the pyramid = 9 cm² + 18 cm² = 27 cm²

Answer : Surface area of the pyramid = 27 cm²

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step-by-step explanation:

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