To calculate the total surface area of a rectangular box (like a toy box), you can use the formula:
\[ \text{Surface Area} = 2(lw + lh + wh) \]
where \( l \) is the length, \( w \) is the width, and \( h \) is the height of the box.
From the dimensions provided:
- Length (l) = 30 inches
- Width (w) = 34 inches
- Height (h) = 40 inches
Now, plug in the values into the formula:
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Calculate the area of each pair of dimensions:
- \( lw = 30 \times 34 = 1020 \)
- \( lh = 30 \times 40 = 1200 \)
- \( wh = 34 \times 40 = 1360 \)
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Now, substitute these values back into the surface area formula: \[ \text{Surface Area} = 2(1020 + 1200 + 1360) \]
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Calculate the sum inside the parentheses: \[ 1020 + 1200 + 1360 = 3580 \]
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Now multiply by 2: \[ \text{Surface Area} = 2 \times 3580 = 7160 \text{ square inches} \]
Therefore, the total surface area of the toy box is 7160 square inches.