To determine the total surface area of the figure, we first need to know the dimensions of the three-dimensional object you are referring to. However, since the specific dimensions and the shape of the figure are not provided in your message, I will describe a general approach to calculating the total surface area based on common three-dimensional shapes.
Step-by-Step Approach:
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Identify the Shape:
- Determine if the figure is a cube, rectangular prism, cylinder, sphere, or some other shape.
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Determine Dimensions:
- For a rectangular prism, identify the lengths of the three edges (length \(l\), width \(w\), height \(h\)).
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Calculate Individual Areas:
- Area of the Left Side (Assuming it's a rectangular shape): \[ \text{Area of the Left Side} = h \times w \]
- Area of the Back: \[ \text{Area of the Back} = l \times h \]
- Area of the Bottom: \[ \text{Area of the Bottom} = l \times w \]
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Calculate Total Surface Area:
- For a rectangular prism, the total surface area \(A\) can be calculated using: \[ A = 2(lw + lh + wh) \]
- If only considering left side, back, and bottom sides, ensure to add the areas accordingly: \[ \text{Total Surface Area} = \text{Area of Left Side} + \text{Area of Back} + \text{Area of Bottom} \]
Example Calculation:
Assuming:
- Length \(l = 10 , \text{cm}\)
- Width \(w = 5 , \text{cm}\)
- Height \(h = 7 , \text{cm}\)
Calculating each area:
- Area of Left Side: \[ = 7 \times 5 = 35 , \text{cm}^2 \]
- Area of Back: \[ = 10 \times 7 = 70 , \text{cm}^2 \]
- Area of Bottom: \[ = 10 \times 5 = 50 , \text{cm}^2 \]
Total Surface Area: \[ = 35 + 70 + 50 = 155 , \text{cm}^2 \]
Conclusion:
Once the actual dimensions are provided, substitute them into the respective formulas for accurate calculations. If you can provide the specific dimensions or describe the object further, I'd be happy to help calculate the total surface area!