Hey there! I'm happy to help!
The <u>surface area </u>is basically the total area of all of the two-dimensional shapes that make up the prism. So, the surface area is the area of our two triangles, the big rectangle on the bottom, the big rectangle that goes diagonal, and the long on the back.
First, let's find the area of our triangles. To find the area of a triangle, you multiply the base by the height and then divide it by two!
4×3=12
12÷2=6
So, each of our triangles has an area of 6 cm².
Now, let's find the area of the bottom rectangle. To find it, we just multiply the long side by the short side.
4×11=44
Now, let's look for the big diagonal rectangle above the bottom rectangle.
5×11=55
Finally, we'll find the area of the back rectangle.
3×11=33
Now, we add all of our measurements up: our two triangles and the three rectangles.
6+6+44+55+33=144
Therefore, the surface area of this prism is 144 cm².
Now your can find the surface of area of these shapes! Have a wonderful day!
