The surface area of the composite figure given to us is 300m². Hence option 2 is the right option.
What is the surface area of a figure?
The space enclosed in the given boundary of a 2-D cross-section of a figure is its surface area.
How do we solve the given question?
We are asked to find the surface area of the composite figure.
The figure consists of a cube and a pyramid.
The surface area of one face of the cube = a², where a is the length of a side (since its a square)
∴ The surface area of one face = 6² = 36m²
We have 5 faces of the cube, so the total area of the cube is
Area of the cube = 5 * 36m² = 180m².
The surface area of one face of the pyramid = (1/2)*base*height, as it is a triangle.
∴ The surface area of one face = (1/2)*6*10 = 30m²
We have 4 faces of the pyramid, so the total area of the pyramid is
Area of the pyramid = 4*30m² = 120m².
∴ The total surface area of the figure = Area of cube + Area of the pyramid = 180m² + 120² = 300m².
∴ The surface area of the composite figure given to us is 300m². Hence option 2 is the right option.
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