This task is about continuing a 3-D spatial pattern.
Step 1  |
Step 2 |
Step 3 |
Here are the first three models of a sequence of steps.
Each model has the faces on the front and back painted blue and all the other faces painted white.
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a)
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Use cubes to build the next 2 models in the sequence, i.e., Step 4 and Step 5.
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| b) |
Use the models to complete the table for Steps 4 and 5 only in the table below.
The first three steps have been done for you.
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c)
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Without using the cubes, complete the table above for Steps 6 and 7.
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| d) | i) |
In Step 10 how many faces would be white? __________
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| ii) |
Explain in words how to work out the number of white faces in Step 20.
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iii)
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Complete this equation for the number of white faces (w) in Step number n.
w = __________
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| e) | i) |
How many blue faces would there be in Step 10? __________
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| ii) |
Complete this equation for the number of blue faces (b) in Step number n.
b = __________
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