Question

a diagram of a toy box is show. its measurements are given in inches. 30 in, 34 in, 40 in.
what is the total surface area of the toy box in square inches.

Answer 1

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:

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

2. Now, substitute these values back into the surface area formula:
\[
\text{Surface Area} = 2(1020 + 1200 + 1360)
\]

3. Calculate the sum inside the parentheses:
\[
1020 + 1200 + 1360 = 3580
\]

4. 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**.