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Step-by-step explanation:

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

answer: 20

step-by-step explanation: