Question

Taylor is gift wrapping a hat box. Determine the surface area using the net of the hatbox at right.
Use 3.14 for pi (𝜋).



(2 points)
Responses

2,512 cm2
2,512 cm2

628 cm2
628 cm2

1884 cm2
1884 cm2

896 cm2
896 cm2
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Answer 1

To determine the surface area of a hat box, which is essentially a cylinder with a top and bottom (the lid), we need to calculate the surface area using the formula for a cylinder.

The surface area (SA) of a cylinder is given by the formula:

\[
SA = 2\pi rh + 2\pi r^2
\]

Where:
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14.

1. **Calculate the lateral surface area**: \( 2\pi rh \)
2. **Calculate the area of the top and bottom**: \( 2\pi r^2 \)

**Step-by-step calculation**:
1. Identify the values for the radius \( r \) and height \( h \) from the net.
2. Plug the values into the surface area formula.
3. Perform the calculations to find the total surface area.

Since I do not have the specific dimensions of the hatbox, I cannot calculate the exact surface area directly. However, please use the dimensions provided in your net of the hatbox to substitute the values into the formula as described.

If you give me the radius and height, I can help you calculate the surface area.