In the diagram, there are 14 cubes glued together to form a solid. each cube has a volume of 1/8in^3. find the surface area of the solid. (show work)

Step-by-step explanation:

If we solve for the surface area for each of the 14 cubes, we will come up with a surface area larger than the shape. The best way to go around this is to solve for each face of the shape.

The shape has a total of 42 faces.

The volume of a cube is s³, each cube is or can be converted to . So a single cube have edges that are .

The area of a single face of each cube is . We can also write this as .

Now that we have the area of a single face in the shape, we simply multiply the area by 42 faces.

Surface Area = x 42

Surface Area =

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225