Question

A diagram of a toy box has 3 measurements
It's measurements are giving in inches 40in. 34in. 30in.
What's the total surface area ofmthe to6mbox in square inches

Answer 1

To find the total surface area of a rectangular box (or toy box in this case), 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.

Given the dimensions:
- Length \( l = 40 \, \text{in} \)
- Width \( w = 34 \, \text{in} \)
- Height \( h = 30 \, \text{in} \)

Now, plug in the values into the formula:

\[
\text{Surface Area} = 2(40 \cdot 34 + 40 \cdot 30 + 34 \cdot 30)
\]

Calculating each term inside the parentheses:

1. \( 40 \cdot 34 = 1360 \)
2. \( 40 \cdot 30 = 1200 \)
3. \( 34 \cdot 30 = 1020 \)

Now sum these products:

\[
1360 + 1200 + 1020 = 3580
\]

Now calculate the total surface area:

\[
\text{Surface Area} = 2 \cdot 3580 = 7160 \, \text{square inches}
\]

So, the total surface area of the toy box is **7160 square inches**.