Question

how many 4 cm cubes can be obtained from a cube whose edge is 16 cm​

Answer 1

Answer:

16

Step-by-step explanation:

Let the number be 'x'

Cube is a 3D form of a square, hence we will be comparing volumes in this case.

Volume of a Cube -

$6 {side}^{2}$

To see how many 4 cm cubes can be obtained from a cube of edge 16 cm :-

(Volume of Cube of side 16 cm)/(Volume of a Cube of side 4 cm)

The resulting answer will be in ratios. ('x' amounts of 4 cm cubes : one 16 cm cube)

On substitution, we get :-

$\frac{6 \times 16 \times 16}{6 \times 4 \times 4} = \frac{16}{1}$

Hence, 16 four cm cubes can obtained from one sixteen cm cubes.