To calculate the surface area \(A\) of a right rectangular prism, we use the formula:
\[ A = 2(wh + wl + hl) \]
where \(w\) is the width, \(l\) is the length, and \(h\) is the height.
Given the dimensions:
- \(w = 12 \text{ in}\)
- \(l = 18 \text{ in}\)
- \(h = 8 \text{ in}\)
We can plug these values into the formula:
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Calculate \(wh\): \[ wh = 12 \times 8 = 96 \]
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Calculate \(wl\): \[ wl = 12 \times 18 = 216 \]
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Calculate \(hl\): \[ hl = 8 \times 18 = 144 \]
Now, substitute these values into the surface area formula:
\[ A = 2(96 + 216 + 144) \]
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Add the values inside the parentheses: \[ 96 + 216 + 144 = 456 \]
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Now multiply by 2: \[ A = 2 \times 456 = 912 \]
Thus, the surface area of the right rectangular prism is \(912\) square inches.
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