A box needs to be decorated to use as a prop in a play. The bottom and the back of the box do not need to be decorated. What is the surface area of the box that needs to be decorated? (1 point) Responses 1,880 cm2 1,880 cm squared 1,080 cm 1,080 cm 2,960 cm2 2,960 cm squared 67 cm2

Answer 1

To calculate the surface area that needs to be decorated, we need to consider only the top, front, and sides of the box, excluding the bottom and back.

Let's denote the dimensions of the box as:

• Length (L)
• Width (W)
• Height (H)

The surface area to be decorated consists of the following areas:

1. Top Area: \(L \times W\)
2. Front Area: \(W \times H\)
3. Left Side Area: \(H \times L\)
4. Right Side Area: \(H \times L\)

So, the total surface area needing decoration can be calculated as follows:

\[ \text{Decorated Surface Area} = (L \times W) + (W \times H) + (H \times L) + (H \times L) = (L \times W) + (W \times H) + 2 \times (H \times L) \]

Once you plug in the values for \(L\), \(W\), and \(H\), you can calculate the total.

However, since no specific dimensions are provided in your query, I can't compute a numeric answer. If you have the dimensions, please provide them, and I can help calculate the surface area that needs to be decorated.

Given the options you provided:

• 1,880 cm²
• 1,080 cm²
• 2,960 cm²
• 67 cm²

You would just need to calculate the surface area based on the box's dimensions and see which option matches your computed surface area.