Question

How many cubes can be cut out of a cube with a side of 18 cm, a total of 3 centimeters?​

Answer 1

Answer:

216

Step-by-step explanation:

No. of cubes can be cut= Volume of a bigger cube/Volume of one smaller cube

                                        = 18*18*18/3*3*3

                                        = 6*6*6 = 216 cubes

Ans.    216 cubes can be cut from the bigger cube

Answer 2

$\boxed{\bold{\mathsf{SOLUTION}}}$

Let the number of cubes that can be cut from bigger cube= x

Edge of smaller cube= 3cm

Edge of bigger cube= 18cm

Then, x × volume of smaller cube= volume of bigger cube:

$= > x \times (3) {}^{3} = (18) {}^{3} \\ \\ = > x = \frac{18 \times 18 \times 18}{3 \times 3 \times 3} \\ \\ = > x = 6 \times 6 \times 6 = 216cubes$

hope it helps ☺️