A big cube has each portion of 44 cm. Tiny cubes of 4 cm portion each are cut from
that. Then how many tiny cubes will be formed that are surrounded by at least one
cube?
(1) 888
(2) 729
(3)
164
(4) 33
Answers
Given :- A big cube has each portion of 44 cm. Tiny cubes of 4 cm portion each are cut from that. Then how many tiny cubes will be formed that are surrounded by at least one cube ?
(1) 888
(2) 729
(3) 164
(4) 33
Solution :-
→ Length of each portion of big cube = 44 cm.
and,
→ Length of each portion of tiny cube = 4 cm.
then,
→ Total length is divided into = 44/4 = 11 parts.
So,
→ x + 2 = 11
→ x = 11 - 2
→ x = 9 cm.
therefore,
→ The number of cubes will be formed such that each face of these cubes is surrounded by other cubes is = (x)³ = (9)³ = 729 (2) (Ans.)
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Answer:
729
Step-by-step explanation:
44/4=44
x+2=11
x=11-2
x=9
Then,x^3=9^3
=729