Answer:
SA = 38 units²
Step-by-step explanation:
The shape consists of 9 cubes of equal size, since the overall volume is 9 units³, each cube has a volume of 9/9 = 1 unit³
Since each block has a volume of 1, we know each side length is 1.
(the cube root of 1 is 1).
The surface area is the sum of all sides of the shape. Each side is a square that is 1 unit by 1 unit, so each side has an area of 1 unit².
The first and last block have 5 sides showing, and the 7 remaining blocks each have 4 sides showing. So we have
2(5) + 7(4) unit² for the surface area, or
10 + 28
38 units²
