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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 2,960 cm2 2,960 cm squared 67 cm2 67 cm squared 1,080 cm 1,080 cm 1,880 cm2 1,880 cm squared Skip to navigation

1 answer

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

Let's denote the dimensions of the box as:

  • Length (L)
  • Width (W)
  • Height (H)

The surface area that needs to be decorated consists of:

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

Thus, the total area to be decorated can be expressed as: \[ \text{Total Area} = (L \times W) + (W \times H) + (H \times L) + (H \times L) \] Simplifying this gives: \[ \text{Total Area} = (L \times W) + (W \times H) + 2(H \times L) \]

To further assist you, I would need the specific dimensions of your box. Without that information, I cannot compute the exact surface area. However, if you provide the dimensions, I can help calculate the surface area that needs to be decorated accurately.

Among the responses provided, please choose according to the calculated area once you have the dimensions. If you assume typical box dimensions, you could find the corresponding response with the calculated area based on the formula above.