To calculate the surface area of the box, you can use the formula for the surface area of a rectangular prism, which is:
\[ \text{Surface Area} = 2(lw + lh + wh) \]
where:
- \( l \) is the length,
- \( w \) is the width, and
- \( h \) is the height.
In this case:
- \( l = 17 \) cm,
- \( w = 10 \) cm,
- \( h = 4 \) cm.
Now plug in the values:
\[ \text{Surface Area} = 2(17 \times 10 + 17 \times 4 + 10 \times 4) \]
Calculating each term:
- \( 17 \times 10 = 170 \)
- \( 17 \times 4 = 68 \)
- \( 10 \times 4 = 40 \)
Now sum these values:
\[ 170 + 68 + 40 = 278 \]
Finally, multiply by 2:
\[ \text{Surface Area} = 2 \times 278 = 556 , \text{cm}^2 \]
So, Jerry will need 556 cm² of wrapping paper to wrap the present.