Question
A toy box with the width of 40, height of 30, length of 34
What is the total surface area
What is the total surface area
Answers
GPT-4o mini
To calculate the total surface area of a rectangular box (or cuboid), you can use the formula:
\[
\text{Surface Area} = 2lw + 2lh + 2wh
\]
Where:
- \( l \) is the length,
- \( w \) is the width,
- \( h \) is the height.
In this case:
- Width (\( w \)) = 40
- Height (\( h \)) = 30
- Length (\( l \)) = 34
Now plug in the values:
\[
\text{Surface Area} = 2(34)(40) + 2(34)(30) + 2(40)(30)
\]
Calculating each term:
1. \( 2(34)(40) = 2720 \)
2. \( 2(34)(30) = 2040 \)
3. \( 2(40)(30) = 2400 \)
Now, add these values together:
\[
\text{Surface Area} = 2720 + 2040 + 2400 = 7160
\]
So, the total surface area of the toy box is \( 7160 \) square units.
\[
\text{Surface Area} = 2lw + 2lh + 2wh
\]
Where:
- \( l \) is the length,
- \( w \) is the width,
- \( h \) is the height.
In this case:
- Width (\( w \)) = 40
- Height (\( h \)) = 30
- Length (\( l \)) = 34
Now plug in the values:
\[
\text{Surface Area} = 2(34)(40) + 2(34)(30) + 2(40)(30)
\]
Calculating each term:
1. \( 2(34)(40) = 2720 \)
2. \( 2(34)(30) = 2040 \)
3. \( 2(40)(30) = 2400 \)
Now, add these values together:
\[
\text{Surface Area} = 2720 + 2040 + 2400 = 7160
\]
So, the total surface area of the toy box is \( 7160 \) square units.