To find the total surface area of a rectangular prism, 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.
Given:
- Length \( l = 5 \)
- Width \( w = 4 \)
- Height \( h = 2 \)
Now, substituting the values into the formula:
\[ \text{Surface Area} = 2(5 \times 4 + 5 \times 2 + 4 \times 2) \]
Calculating each term inside the parentheses:
- \( 5 \times 4 = 20 \)
- \( 5 \times 2 = 10 \)
- \( 4 \times 2 = 8 \)
Now, add these values together:
\[ 20 + 10 + 8 = 38 \]
Now, multiply by 2:
\[ \text{Surface Area} = 2 \times 38 = 76 \]
Thus, the total surface area of the rectangular prism is \( 76 \) square units.