Find the surface area of the figure. a) 242in2 b) 262in2 c) 278in2 d) 287in2

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

the answer is d. (1.2, -4.7) on edgn

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