Cassandra baked a cake measuring 13 in. x 9 in. x 2 in. She wants to add frosting to the cake. The only side that will not be frosted is the bottom of the cake.
What is the surface area that will be frosted with icing?

O A 24 in. ^2

O B 117 in. ^2

O C 205 in. ^2

O D 322 in. ^2

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Answer:

C

Step-by-step explanation:

The cake has a shape of a rectangle prism

first of all we can find the base area, that represents the top of the cake

base area = base x width = 13 x 9 = 117 in^2

Now we have to find the lateral area

base perimeter = (base + width) x 2 = (13 + 9) x 2= 44 in

LA = base perimeter x height = 44 x 2 = 88 in^2

total icing surface:

base area + LA = 117 + 88 = 205 in^2