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3375 cubes of side 1

Source: II May Olympiad (Olimpiada de Mayo) 1996 L2 P2

September 17, 2022

combinatorics

Problem Statement

Joining

15^3 = 3375

cubes of

1

cm

^3

, bodies with a volume of

3375

cm

^3

can be built. Indicate how two bodies

A

and

B

are constructed with

3375

cubes each and such that the lateral surface of

B

is

10

times the lateral surface of

A

.

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