8 small but identical cubes have been put together to form a large cube. How many more such small cubes
will be required to cover this large cube completely.
Select one:
O a. 58
O b. 54
O c. 52
O d. 56
Answers
Given : 8 small but identical cubes have been put together to form a large cube.
To Find : How many more such small cubes will be required to cover this large cube completely.
O a. 58
O b. 54
O c. 52
O d. 56
Solution:
To understand it in simple way lets assume that small cubes are of side length
= 1 unit
Volume = 1 x 1 x 1 = 1 cubic unit
8 cubes put together to form large cube
Volume of 8 cubes = 8 x 1 = 8 cubic units
side length of cube = ∛8 = 2 unit
Surface area = 6a² = 6 x 2² = 24 sq unit
Now to cover this cube we need to cover surface
each cube one face area = 1 sq unit
so cubes needed = 24
but seeing the given options it looks like
we need to cover by making a cube out side
then new cube dimension would be 2 + 1 + 1 = 4 unit side length
( as 1 cube will be added each side)
Hence Volume of new cube = 4 x 4 x 4 = 64 cubic units
Already volume = 8 cubic units
Volume required additionally = 64 - 8 = 56 cubic unit
one cube volume = 1 cubic unit
Hence cubes required = 56
56 small cubes will be required to cover this large cube completely.
option d. 56 is correct
Learn More:
Edmund makes a cube using eight small cubes. Samuel uses cubes ...
https://brainly.in/question/18695161
Two faces each of a cube of side 6 cm have been painted blue, red ...
https://brainly.in/question/20024192
cube of dimensions 10” is painted red, blue and green respectively ...
https://brainly.in/question/28073185