To calculate the surface area of a geometric shape formed by specific dimensions, we need to determine what type of shape the net represents. However, since it's not specified whether this is a rectangular prism (cuboid), a triangular prism, or another shape, I'll assume it is a rectangular prism for the purpose of this calculation, as that is a common type of geometric shape with three dimensions.
For a rectangular prism with dimensions \(x\), \(y\), and \(z\):
- Length (l) = x = 10 cm
- Width (w) = y = 6 cm
- Height (h) = z = 16 cm
The formula for the surface area \(A\) of a rectangular prism is:
\[ A = 2(lw + lh + wh) \]
Now substituting the values into the formula:
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Calculate each area component:
- \(lw = 10 , \text{cm} \times 6 , \text{cm} = 60 , \text{cm}^2\)
- \(lh = 10 , \text{cm} \times 16 , \text{cm} = 160 , \text{cm}^2\)
- \(wh = 6 , \text{cm} \times 16 , \text{cm} = 96 , \text{cm}^2\)
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Now sum these areas:
- \(lw + lh + wh = 60 + 160 + 96 = 316 , \text{cm}^2\)
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Finally, multiply by 2 to find the total surface area:
- \(A = 2 \times 316 = 632 , \text{cm}^2\)
Thus, the surface area of the geometric shape is 632 cm².
The correct answer is B. 632 cm².