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youcubed: Painted Cube

Students build and draw three-dimensional cubes made up of small unit cubes. Student study patterns by analyzing the number of sides painted of each unit cube, which made up the larger painted cube.

Task Instructions

Imagine that we paint a 4 x 4 x 4 cube blue on every side. How many of the small cubes have 3 blue faces?
How many have 2 blue faces?
How many have 1 blue face?
How many have not been painted at all? How many faces would be painted in a cube of any size? Think visually!

Materials

Grid or isometric dot pater
Centimeter cubes or similar (sugar cubes are great for this activity!)
Colored pens or markers

STEAM Topics Resource Audience Grade Level Tags PDFs

Math Topics

Geometry, Measurement & Time

K-6, Middle School, High School

5th Grade, 6th Grade, 7th Grade, 8th Grade, 9th Grade, 10th Grade

Cubes (Geometry), youcubed

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Descriptions of PDFs

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RELATED LISTINGS

youcubed (Stanford University)

Inspiring Math Success for all Students through Growth Mindsets and Innovative Teaching

https://www.youcubed.org/

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youcubed (Stanford University)

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https://www.youcubed.org/tasks/painte...

Type of Resource

Activity Sheet
Challenge
PDF File

Assigned Categories

Math - Geometry & Trigonometry
Math

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