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When baking a cake you have a choice of the following pans: a round cake that is 2 inches deep and has a 7-inch diameter, a 6 inches times 9-inch rectangular cake pan that is 2 inches deep.

Question: Excluding the bottom of the cake what is the surface area of each cake that will be covered by frosting?

User L L
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2 Answers

3 votes

Answer:

114 square inches

Step-by-step explanation:

The total area of the ends is 24 square inches. And the total area of the bottom is 54 square inches. The total area of the sides is 36 square inches. To find the surface area, I need to add up all these findings: 24 + 36 +54= 114 square inches.

Note:

Hope this helps! Have a wonderful rest of your day!

-kiniwih426

User Malinosqui
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6 votes
Option A:
a round cake that is 2 inches deep and has a 7-inch diameter:
S.A = (pi) * (r ^ 2) + (2) * (pi) * (r) * (h)
Where,
R: cake radius
h: height of the cake
Substituting values:
S.A = (3.14) * ((7/2) ^ 2) + (2) * (3.14) * (7/2) * (2)
S.A = 82.425 in ^ 2

Option B:
a 6 inches times 9-inch rectangular cake pan that is 2 inches deep.
In this case we must find the area of a rectangular prism excluding the bottom of the prism.
S.A = 2 * (9 * 2) + 2 * (6 * 2) + (9 * 6)
S.A = 114 in ^ 2
User SandeepGodara
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6.0k points