Question
Here are some big solid cube frames. Howr many small cubes have been removed from each cube?
✓
Answer
(a) The full cube has 3 × 3 × 3 = 27 small cubes.
After removing the small cubes only the big cube frame are available, which has 20 small cubes.
So, total removed cubes = 27-20
= 7 cubes.
(b) The full cube has 4 × 4 × 4 = 64 small cubes.
After removing the small cubes the big cube frame has 32 small cubes.
So, total removed cubes = 64 – 32
= 32 cubes.
(c) The full cube has 5 × 5 × 5 = 125 small cubes.
After removing the small cubes the big cube frame has 44 small cubes.
So, total removed cubes = 125 – 44
= 81 cubes.
After removing the small cubes only the big cube frame are available, which has 20 small cubes.
So, total removed cubes = 27-20
= 7 cubes.
(b) The full cube has 4 × 4 × 4 = 64 small cubes.
After removing the small cubes the big cube frame has 32 small cubes.
So, total removed cubes = 64 – 32
= 32 cubes.
(c) The full cube has 5 × 5 × 5 = 125 small cubes.
After removing the small cubes the big cube frame has 44 small cubes.
So, total removed cubes = 125 – 44
= 81 cubes.
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