Answer:
356
Step-by-step explanation:
To answer this, find the area of each side, then add the values together.
Normally Surface Area = 2 (wl + hl + hw) but in this case, the easiest way to solve this is to divide the shape into 2 different rectangular prisms. Your new equation would be: SA = Sa₁ + Sa₂ or it could be
SA = [2 (wl + hl + hw)] + [2 (wl + hl + hw)]
We'll start by solving the surface area for the larger rectangular prism.
Sa₁ = 2 (wl + hl + hw) substitute w, l, and h
Sa₁ = 2 [(10)(0.5) + (12)(0.5) + (12)(10)]
Sa₁ = 2 (131)
Sa₁ = 262
Now do the same equation for the smaller rectangular prism
Sa₂ = 2 (wl + hl + hw) substitute w, l, and h
Sa₂ = 2 [(10)(0.5) + (4)(0.5) + (4)(10)]
Sa₂ = 2 (47)
Sa₂ = 94
Now add Sa₁ and Sa₂
SA = 262 + 94
SA = 356
