To calculate the surface area of a rectangular box, you can use the formula:
\[ \text{Surface Area} = 2lw + 2lh + 2wh \]
where \( l \) is the length, \( w \) is the width, and \( h \) is the height of the box. For the given cereal box with dimensions \( l = 8 \, \text{in} \), \( w = 1.5 \, \text{in} \), and \( h = 11 \, \text{in} \):
1. Calculate \( 2lw \):
\[ 2lw = 2 \times 8 \times 1.5 = 2 \times 12 = 24 \]
2. Calculate \( 2lh \):
\[ 2lh = 2 \times 8 \times 11 = 2 \times 88 = 176 \]
3. Calculate \( 2wh \):
\[ 2wh = 2 \times 1.5 \times 11 = 2 \times 16.5 = 33 \]
Now, add these up to find the total surface area:
\[ \text{Surface Area} = 24 + 176 + 33 = 233 \, \text{square inches} \]
So, the surface area of the cereal box is **233 square inches**.
2. For the same cereal box with dimensions of 8 in. x 1.5 in. x 11 in, what is the surface area in square inches?
*
24
88
132
209
233
1 answer