A large cube is painted blue and then 3 cuts are made on the X-axis, 7 cuts
are made on the Y-axis, and 6 cuts are made on the Z-axis. The cube is
then disintegrated. Calculate number of pieces with exactly 0 faces painted
blue.
Answers
Answer:
20 pieces will have no paint on any of the faces.
Step-by-step explanation:
Number of cut on X-axis =3.
Number of cut on Y-axis =7.
Number of cut on Z-axis =6.
Therefore, number of pieces produced=4×8×7=224
Number of pieces with no paint is = (4-2) ×(8-2) ×(7-2) =2×6×5=60.
Answer:
60 pieces are exactly 0 faces painted blue.
Step-by-step explanation:
On a large cube the number of cuts are made on the X-axis = 3
The number of cuts are made on Y-axis = 7
The number of cuts are made on Z-axis = 6
Total number of pieces obtained with x cuts on X-axis, y cuts on Y-axis and z cuts on Z-axis
= (x+1) × (y+1) × (z+1)
= (3+1) × (7+1) × (6+1)
= 4 × 8 × 7
= 224 pieces
The cube was painted blue on its faces, the the number of pieces with exactly 0 faces painted blue
= (4-2) × (8-2) × (7-2)
= 2 × 6 × 5
= 60
60 pieces are exactly 0 faces painted blue.
Learn more to calculate the total pieces of the cube after making cuts :
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