Use the image to answer the question.

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)
1, 880 cm2
1,080 cm
2, 960 cm2
67 cm2

1 answer

To determine the surface area that needs to be decorated, we need to consider only the top, front, and two sides of the box. The bottom and back are not included in the calculations.

Assuming the dimensions of the box (length, width, height) are provided in the image, here’s the general approach to calculate the surface area for the sides to be decorated:

  1. Calculate the area of the top: \[ \text{Top Area} = \text{Length} \times \text{Width} \]

  2. Calculate the area of the front: \[ \text{Front Area} = \text{Width} \times \text{Height} \]

  3. Calculate the area of one side: \[ \text{Side Area} = \text{Height} \times \text{Length} \] Since there are two sides, multiply this area by 2.

  4. Sum up all the areas: \[ \text{Total Area to Decorate} = \text{Top Area} + \text{Front Area} + 2 \times \text{Side Area} \]

Plug in the actual dimensions from the image into this formula, and then you will reach the total surface area that needs to be decorated.

However, since the dimensions are not provided here, I cannot calculate the exact number. You can refer to the dimensions from the image to perform the calculation and determine if it matches any of the given answer choices (1, 880 cm²; 1, 080 cm²; 2, 960 cm²; 67 cm²).