To calculate the total surface area of Kym's play tent, which is shaped like a rectangular prism, we can use the formula for the surface area of a rectangular prism:
\[ \text{Surface Area} = 2(lw + lh + wh) \]
where:
- \( l \) = length
- \( w \) = width
- \( h \) = height
Given:
- \( l = 27 \) inches
- \( w = 19 \) inches
- \( h = 39 \) inches
Now, we will plug in these values into the surface area formula:
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Calculate the area of each component:
- \( lw = 27 \times 19 = 513 \) square inches
- \( lh = 27 \times 39 = 1053 \) square inches
- \( wh = 19 \times 39 = 741 \) square inches
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Now, sum these areas: \[ lw + lh + wh = 513 + 1053 + 741 = 2307 \text{ square inches} \]
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Finally, multiply by 2 to find the total surface area: \[ \text{Surface Area} = 2 \times 2307 = 4614 \text{ square inches} \]
So, the total surface area of Kym's play tent is:
\[ \boxed{4614} , \text{in}^2 \]
There are no decimal places needed, as rounding to the nearest hundredth would yield the same whole number answer.