Question

A cube of side 3 cm is cut out of a large cube whose each side measures 48 cm . How many small cubes can be cut​

Answer 1

Answer:

4096 small cubes

Step-by-step explanation:

Given, Side of small cube= 3 cm

Side of bigger cube= 48 cm

Volume of Bigger cube= $a^{3}$

                                      = $48^{3}$ = 48*48*48= 110592 $cm^{2}$

Volume of smaller cube= $a^{3}$

                                       = $3^{3}$= 3*3*3= 27$cm^{3}$

Number of small cubes= $\frac{Volume of bigger cube}{Volume of each small cube}$

                                      = $\frac{110592}{27}$

                                      = 4096 small cubes