To determine the total surface area of a three-dimensional figure, we need specific dimensions (length, width, height) and perhaps details about the figure's shape (e.g., rectangular prism, cylinder, etc.) to calculate the areas of the individual surfaces. However, since this information isn't provided, I can guide you on how to calculate the surface area if you have the necessary dimensions.
Here’s how you would calculate the surface area of a rectangular prism (a common three-dimensional figure) as an example:
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Identifying Dimensions: Let’s assume the dimensions are:
- Length (L)
- Width (W)
- Height (H)
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Calculating Individual Areas:
- Area of the Left Side (which is typically Length x Height): \[ \text{Area of the Left Side} = L \times H \]
- Area of the Back (which is typically Width x Height): \[ \text{Area of the Back} = W \times H \]
- Area of the Bottom (which is typically Length x Width): \[ \text{Area of the Bottom} = L \times W \]
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Calculating Total Surface Area: The total surface area (SA) for a rectangular prism is given by: \[ \text{SA} = 2(LW + LH + WH) \] This formula accounts for both sides of each dimension.
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Substituting Values: Insert your specific dimensions into the formulas above and calculate the individual areas and then the total.
If you provide the dimensions or specify the exact shape, I can help you calculate the surface area step by step!