Question

A diagram of a toy box is shown. Its measurements are given in inches.
30 in.hight
34 in. length
40 in.width
What is the total surface area of the toy box in square inches?
Enter your answer in the space provided.

Answer 1

To find the total surface area of a rectangular box (toy box), you can use the formula:

\[
\text{Surface Area} = 2(lw + lh + wh)
\]

where:
- \( l \) is the length,
- \( w \) is the width,
- \( h \) is the height.

From the measurements provided:
- Height (h) = 30 inches
- Length (l) = 34 inches
- Width (w) = 40 inches

Let's substitute the values into the formula:

1. Calculate each of the products:
- \( lw = 34 \times 40 = 1360 \)
- \( lh = 34 \times 30 = 1020 \)
- \( wh = 40 \times 30 = 1200 \)

2. Now sum the results:
\[
lw + lh + wh = 1360 + 1020 + 1200 = 3580
\]

3. Finally, multiply by 2 to find the total surface area:
\[
\text{Surface Area} = 2 \times 3580 = 7160 \text{ square inches}
\]

Thus, the total surface area of the toy box is \( \boxed{7160} \) square inches.