Question

4. The number of cubes of edge 2 cm which can be cut from a cube of edge 8 cm are ______
(c) 9
(d) 27
(a) 4
(6) 16
(c) 64
(d) none​

Answer 1

Answer:

Give, edge of cube a=20cm.

Volume of cube = a

3

=20

3

=8000cm

3

.

If cubes of edge [b=4cm] ismade from this cube, then

its volume =4

3

=64cm

3

.

Let x cubes can be made.

Therefore,

Volume of large cube = x× Volume of small cube ....[a

3

=xb

3

]

⇒8000=x×64

⇒x=

64

8000

⇒x=125.

Hence, 125 cube can be made from the large cube of edge 20cm.

Therefore, option D is correct.

Answer 2

Step-by-step explanation:

volume of large cube =8^3=512

volume of small cube=2^3=8

number of cubes =512/8=64

Hence the answer is (d)