To find the total surface area, we first need to understand the shape defined by the provided measurements: 3, 6, 8, 6, 6, 8, 3, 6. However, the measurements are not labeled as sides or dimensions of a specific shape, so I'll assume these refer to the dimensions of a rectangular prism or a similar shape.
A standard formula for calculating the surface area \(A\) of a rectangular prism is: \[ A = 2(lw + lh + wh) \] where \(l\), \(w\), and \(h\) are the length, width, and height of the prism.
Based on the values you provided, let's try to group them sensibly. I'll assume we have the following dimensions as length, width, and height:
- Length (l) = 8
- Width (w) = 6
- Height (h) = 3
Substituting into the surface area formula: \[ A = 2(lw + lh + wh) = 2( (8 \times 6) + (8 \times 3) + (6 \times 3) ) \] Calculating each part:
- \(lw = 8 \times 6 = 48\)
- \(lh = 8 \times 3 = 24\)
- \(wh = 6 \times 3 = 18\)
Now, summing these values: \[ lw + lh + wh = 48 + 24 + 18 = 90 \]
Finally, multiplying by 2 for the total surface area: \[ A = 2 \times 90 = 180 , \text{in}^2 \]
Thus, the total surface area is 180 in².