The surface area of an open-top box with length $$ L $$, width $$ W $$, and height $$ H $$ can be found using the formula: $$ A=2 L H+2 W H+L W $$ Find the surface area of an open-top box with length 9 cm , width 6 cm , and height 7 cm .

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Given the formula for the surface area of an open-top box:

$$
A = 2LH + 2WH + LW
$$

we substitute $$ L = 9 $$ cm, $$ W = 6 $$ cm, and $$ H = 7 $$ cm.

1. Calculate $$ 2LH $$:

$$
2LH = 2(9)(7) = 2(63) = 126 \text{ cm}^2
$$

2. Calculate $$ 2WH $$:

$$
2WH = 2(6)(7) = 2(42) = 84 \text{ cm}^2
$$

3. Calculate $$ LW $$:

$$
LW = 9 \times 6 = 54 \text{ cm}^2
$$

4. Add these results to find the total surface area:

$$
A = 126 + 84 + 54 = 264 \text{ cm}^2
$$

Thus, the surface area of the open-top box is $$ 264 $$ cm$$^2$$.
The surface area of the open-top box is 264 cm².

The surface area of an open-top box with length \( L \), width \( W \), and height \( H \) can be found using the formula: \( A=2 L H+2 W H+L W \) Find the surface area of an open-top box with length 9 cm , width 6 cm , and height 7 cm .

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