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2009 AMC 10B Problem 22

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2009 AMC 10B Problem 22AMC 10 Step by Step

Name: Date: September 13, 2026

Solid Geometry · difficulty 4 of 5 · about 7 min · position P21-25

A cubical cake with edge length $2$ inches is iced on the sides and the top. It is cut vertically into three pieces as shown in this top view, where $M$ is the midpoint of a top edge. The piece whose top is triangle $B$ contains $c$ cubic inches of cake and $s$ square inches of icing. What is $c+s$ ?

A)
$\frac{24}{5}$
B)
$\frac{32}{5}$
C)
$8+\sqrt5$
D)
$5+\frac{16\sqrt5}{5}$
E)
$10+5\sqrt5$

2009 AMC 10B Problem 22

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