Can somebody please help me find the surface area of this shape

Hi!

There are three different rectangles that make up this closed box. We need to calculate the area of them to find the surface area of this shape. Here are the measurements:

Rectangle 1: 40 * 20

Rectangle 2: 50 * 20

Rectangle 3: 50 * 40

Note that there are two of each type of rectangle, so when we are done calculating the area of each rectangle we will multiply each by 2.

Rectangle 1: 40 * 20 = 800(2) = 1600

Rectangle 2: 50 * 20 = 1000(2) = 2000

Rectangle 3: 50 * 40 = 2000(2) - 4000

Now, we add the areas together: 1600 + 2000 + 4000 = 7600

The surface area of this closed box is 7600cm squared.

Hope this helps!

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.