Question

Total surface area of the toy box with length of 40, width of 34 and height of 30

Answer 1

To calculate the total surface area of a rectangular box (toy box in this case), you can use the formula for the surface area \( A \) of a rectangular prism:

\[
A = 2(lw + lh + wh)
\]

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

Given:
- Length \( l = 40 \),
- Width \( w = 34 \),
- Height \( h = 30 \).

Let's plug in these values:

1. Calculate \( lw \):
\[
lw = 40 \times 34 = 1360
\]

2. Calculate \( lh \):
\[
lh = 40 \times 30 = 1200
\]

3. Calculate \( wh \):
\[
wh = 34 \times 30 = 1020
\]

4. Now substitute these values into the surface area formula:
\[
A = 2(1360 + 1200 + 1020) = 2(3580)
\]

5. Finally, calculate the total surface area:
\[
A = 2 \times 3580 = 7160
\]

Therefore, the total surface area of the toy box is **7160 square units**.