A box needs to be decorated to be used as as a prop in a play. The dimensions of the box are 27 x 20 x 20 cm. the back and bottom of the box do not need to be decorated. what is the total surface area of the box that needs to be decorated?
The total surface area of a rectangular box can be determined by adding the areas of all of its six sides.
The dimensions of the box are 27 x 20 x 20 cm.
The front face of the box has an area of 27 x 20 cm² = 540 cm².
The top face of the box has an area of 20 x 20 cm² = 400 cm².
The two side faces of the box each have an area of 27 x 20 cm² = 540 cm².
Therefore, the total surface area of the box that needs to be decorated is 540 cm² + 400 cm² + 540 cm² + 540 cm² = 2,020 cm².
try again.
a) 2,960 cm^2
b) 1,080 cm
c) 1.880 cm^2
d) 67 cm^2
To find the total surface area of the box that needs to be decorated, we need to find the areas of the front, top, bottom, and two side faces of the box.
The dimensions of the box are 27 x 20 x 20 cm.
The front face of the box has an area of 27 x 20 cm² = 540 cm².
The top face of the box has an area of 20 x 20 cm² = 400 cm².
The two side faces of the box have the same dimensions, measuring 27 x 20 cm² each. Since there are two side faces, the total area is 2 x (27 x 20) cm² = 1,080 cm².
Therefore, the total surface area of the box that needs to be decorated is 540 cm² + 400 cm² + 1,080 cm² = 2,020 cm².
So, the correct answer would be none of the options provided.