A cube of side 15 cm is coloured green with a 3 cm
wide red strip along all the sides on all the faces. The
cube is cut into 125 smaller cubes of equal size. How
many cubes have no red faces?
LA 81
3 areen
B. 270
C. 44
+ D. None of these
Answers
81 Cubes will not have any red face
Step-by-step explanation:
A cube of side 15 cm
Volume = 15 * 15 * 15
cut into 125 smaller cubes of equal size
Let say side of each cube = x
Then Volume = 125 * x³
125 * x³ = 15 * 15 * 15
=> x³ = 27
=> x = 3
Smaller cube size 3cm
colored green with a 3 cm wide red strip along all the sides on all the faces
Each Cube is also of size 3 cm
Each Edge will have 3 cubes & 8 Corners
= 12 * 3 + 8
= 44Cubes have red face
125 - 44 = 81 Cubes will not have any red face
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