How many cubes can you find in an 8 by 8 by 8 unit cube? need answer asap?

Question

i need to know how many 2x2x2 cubes fit in that cube , 3x3x3, 4x4x4, 5x5x5, 6x6x6, 7x7x7, 8x8x8.

Answer 1

can the cubes overlap?

Answer 2

there are 8*8*8=512 cubes in a 8x8x8 cube.
To know how many cubes of a type fit in this cube you have to divide the 8x8x8's volume by what ever cube's volume you have. However, you have to round your answers down:
you can fit (8*8*8)/(2*2*2)= 64 2x2x2 cubes.
You can fit (8*8*8)/(3*3*3)= 18 3x3x3 cubes.
You can fit (8*8*8)/(4*4*4)= 8 4x4x4 cubes.
You can fit (8*8*8)/(5*5*5)= 4 5x5x5 cubes.
You can fit (8*8*8)/(6*6*6)= 2 6x6x6 cubes.
You can fit (8*8*8)/(7*7*7)= 1 7x7x7 cubes.

Answer 3

64 2x2x2

8 each of 3x3x3 or 4x4x4
(with 3x3x3, you just have a layer 2 units thick left)

1 each of 5x5x5, 6x6x6, 7x7x7, 8x8x8

Or you mean how many cubes you get if you can disassemble 8x8x8 into a bunch of 1x1x1 cubes?
Find a calculator, compute 8*8*8, 7*7*7, etc, divide and round down to nearest integer.

Answer 4

The volume for each cube is:
V=L^3
L stands for side lenght,
the volume of the unit cube is:
V=8^3=512
the another cube volume is:
v=2^3=8
we divide the unit volume by this, and get:
n=512/8=64
n is the first answer.
The same method gives us:
n=512/(3^3)=18.9 (then 18 is the answer)
n=512/(4^3)=8 (then 8 is the answer)
n=512/(5^3)=4.0 (then 4 is the answer)
n=512/(6^3)=2.3 (then 2 is the answer)
n=512/(7^3)=1.4 (then 1 is the answer)
n=512/(8^3)=1 (then 1 is the answer)
Have fun!

Answer 5

2x2x2 = 8
3x3x3 = 27
4x4x4 = 64
5x5x5 = 125
6x6x6 = 216
7x7x7 = 343
8x8x8 = 512

so,
512 (8x8x8) / 8 = 64.......................ans
512 (8x8x8) / 27 = 18.96 or 18 .....ans
512 (8x8x8) / 64 = 8......................ans
512 (8x8x8) / 125 = 4.096 or 4......ans
512 (8x8x8) / 216 = 2.37 or 2........ans
512 (8x8x8) / 343 = 1.49 or 1........ans
512 (8x8x8) / 512 = 1.....................ans

Answer 6

8x8x8=512.

Answer 7

just multiply'
e.g. 2x2=4x2=8