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MATH / A 4×4×4 open cubical box contains 64 identical small cubes that exactly fill the box. How many of these small cubes touch the bottom or one of the four lateral sides of the box?

Problem

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problem

A 4×4×44\times 4\times 4 open cubical box contains 64 identical small cubes that exactly fill the box. How many of these small cubes touch the bottom or one of the four lateral sides of the box?
Plain-text mathematical notation (without MathML)
A 4×4×4 open cubical box contains 64 identical small cubes that exactly fill the box. How many of these small cubes touch the bottom or one of the four lateral sides of the box?
Original LaTeX notation
A $4\times 4\times 4$ open cubical box contains 64 identical small cubes that exactly fill the box. How many of these small cubes touch the bottom or one of the four lateral sides of the box?

level

Level 4

type

Counting & Probability

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Source and history

task_id
f7bef48b-34d7-594d-bc4b-f3d49b074997
task_key
counting~5fand~5fprobability--test--f7bef48b-34d7-594d-bc4b-f3d49b074997
task_revision_id
1
config / split
counting_and_probability / test

Official source

initial import