Year 9
The Painted Cube
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Lesson details
Key learning points
- In this lesson, we will look at the painted cube problem.
Licence
This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
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3 Questions
Q1.
Look at the 3D grid. What are the co-ordinates of A?
(0, 0, 2)
(2, 0, 0)
Q2.
What are the co-ordinates of B?
(2, 0, 2)
(2, 2, 0)
(3, 2, 0)
Q3.
What are the co-ordinates of C?
(2, 3, 2)
(3, 2, 2)
(3, 2, 3)
4 Questions
Q1.
Imagine that the whole outside of this 3 x 2 x 2 cube was painted. First, how many cubes are there in total?
10
18
24
Q2.
How many cubes would have 3 faces painted?
12
4
6
Q3.
How many cubes would have 2 faces painted?
0
2
6
Q4.
How many cubes would have 1 face painted?
2
4
6