Answer:
287 in²
Step-by-step explanation:
The figure given is a combination of a cube and a rectangular prism. The formula for the volume of a rectangular prism is:
SA = 2(ab) + 2(ac) + 2(bc), where 'a', 'b' and 'c' are the measures of the prism.
The formula for the volume of a cube is:
SA = 6s², where 's' is the measure of the side of a cube
Prism: SA = 2(3*3) + 2(3*12) + 2(3*12) = 18 + 72 + 72 = 162 in²
Cube: SA = 6(5)² = 150 in²
Since the prism is stacked on top of one of the sides of the cube, you can subtract one of the sides since it is overlapping:
150 - 25 = 125 in²
total surface area: 125 + 162 = 287 in²
