A box needs to be decorated to use as a prop and a plate 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 front is 27 cm the width is 20 cm and the height is 20 cm.
To find the surface area of the box, we need to calculate the area of each face that needs to be decorated and then add them together.
The box has 6 faces: front, back, top, bottom, left side, and right side.
The front face needs to be decorated, so its area is given as 27 cm.
The top and bottom faces do not need to be decorated, so their areas are ignored.
The left and right side faces both have the same dimensions: width of 20 cm and height of 20 cm. Thus, their areas are equal and can be calculated as 20 cm * 20 cm = 400 cm² each.
Therefore, the total area that needs to be decorated is 27 cm (front face) + 400 cm² (left side face) + 400 cm² (right side face).
Adding these areas together, we get 27 cm + 400 cm² + 400 cm² = 827 cm².
Therefore, the surface area of the box that needs to be decorated is 827 cm².