Answer:
Out of 36 cubes on each face, the 16 cubes not on an edge are the only ones frosted on a single face. 16 on each face x 6 faces = 96 cubes frosted on one face.
Step-by-step explanation:
Hope it helps!
There are 64 cubes that are frosted on one side only.
"A Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron."
"Shapes in three-dimensions or as we view them in real life are called 3D shapes. Examples of 3D shapes are cubes, cuboids, spheres, cylinders, cones and frustum of cones."
Each face will have three types of cubes on it:
1. Corner Cubes - Frosted on three adjacent sides
2. Edge Cubes - Frosted on two adjacent sides and on the edge between two corner cubes.
3. Central Cubes - Frosted on one side and in the middle of all edges of the face.
Thus, the number of cubes that have only one side as frosted are the total number of central cubes. They can be calculated as follows for all 6 faces:
[tex]Cubes_{central}[/tex] = (6−2)(6−2)+(6−2)(4-2)+(6−2)(4−2)+(6−2)(6−2)+(6−2)(4−2)+(6−2)(4−2)
= [tex]2 (4)^{2}+4(4)(2)[/tex]
= 32+ 32
= 64
Thus there are 64 cubes that are frosted on one side only.
Learn more about cubes here
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