A net has a rectangle at the center and 4 triangles on the sides. The rectangle has a length of 6 meters and height of 2 meters. 2 triangles have a base of 6 meters and height of 8.8 meters. 2 triangles have a base of 2 meters and height of 9 meters. What is the surface area of the rectangular pyramid? m2

Area of the rectangular pyramid is 82.8m²

Step-by-step explanation:

Given

Number of rectangle = 1

Number of triangles = 4

Dimension of Rectangle = Length = 6 metres; Height = 2 metres

Dimension of 2 triangles: Base = 6 metres and Height = 8.8 metres

Dimension of other 2 triangles: Base = 2 metres and Height = 9 metres

Required

Area of the Rectangular Pyramid

To calculate the area of the rectangular pyramid; we simply calculate the area of each of the shapes above;

Calculating the area of the rectangle;

Area = Length * Height

Area = 6m * 2m

Area = 12m²

Calculating the area of the first two triangles;

Base = 6 metres and Height = 8.8 metres

Area of a triangle = 0.5 * Base * Height

Area = 0.5 * 6m * 8.8m

Area = 26.4m²

Area of two triangles = 2 * 26.4m²

Area of two triangles = 52.8m²

Calculating the area of the other two triangles;

Base = 2 metres and Height = 9 metres

Area of a triangle = 0.5 * Base * Height

Area = 0.5 * 2m * 9m

Area = 9m²

Area of two triangles = 2 * 9m²

Area of two triangles = 18m²

The area of the pyramid is the summation of the above calculations;

Area of Rectangular Pyramid = 12m² +52.8m² + 18m²

Area = 82.8m²

Hence, the area of the rectangular pyramid is 82.8m²

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