To calculate the surface area of the box, we can use the formula:
\[ \text{Surface Area} = 2lw + 2wh + 2lh \]
Here:
- \( l \) (length) = 17 cm
- \( w \) (width) = 10 cm
- \( h \) (height) = 4 cm
Now, we can plug in the values:
-
Calculate \( 2lw \): \[ 2lw = 2 \times 17 \times 10 = 340 , \text{cm}^2 \]
-
Calculate \( 2wh \): \[ 2wh = 2 \times 10 \times 4 = 80 , \text{cm}^2 \]
-
Calculate \( 2lh \): \[ 2lh = 2 \times 17 \times 4 = 136 , \text{cm}^2 \]
Now, adding all these areas together:
\[ \text{Surface Area} = 340 + 80 + 136 = 556 , \text{cm}^2 \]
Thus, Jayda will need 556 cm² of wrapping paper.