343 smaller but identical cubes are put together to form a large cube. A knife is passed through one side AB of top face ABCD to the diagonally opposite edge of the bottom face. The knife is then again passed through the side CD of top face to the diagonally opposite edge of the bottom face. How many of the smaller cubes are not cut by the knife at all?
Answers
Answer:
"face" (and any subsequent words) was ignored because we limit queries to 32 words.
Answer:
There are 218 small cubes painted at least one side.
Explanation:
Given :
343 small cubes make a big cube with 6 faces painted
To find :
No. of small cubes with at least one face painted
Solution:
1.We need to find the no. of cube held each side :
The volume of the cube given in the question = 343 units
We get each side length = \sqrt[3]{343} = 7 units
2. We need to find no. of small cubes painted at least one side
= No. of cubes at edge each face \times 3 + 8
(Vertices) + no. of cubes held between
vertex of each face \times 6
= 5\times4\times3 + 8 + 5\times5\times6
= 60 + 8 + 150
= 218 cubes
*Note: The cubes at the edge have two sides painted.
Hence, there are 218 small cubes painted at least one side.
smaller but identical cubes are put together to form a large cube.
https://brainly.in/question/42506642
small but identical cubes are put together on a table to form one large cube. A knife is passed through this cube starting along one edge of the top face to the diagonally opposite edge on the bottom face. How many small cubes are cut by this knife?
https://brainly.in/question/11698559
#SPJ2