Question

The length,breadth and height of a solid metallic block are 2.25m, 1.8m and 27cm respectively. It is melted and recast into 12 solid smaller cubes. Find the side of each of such smaller cubes.

Answer 1

Answer:

21 cm

Step-by-step explanation:

Volume of original cube = l*b*h

                                         = 2.25m * 1.8m * 27cm

                                         = 225cm * 180cm * 27cm

                                         = 109350 $cm^{3}$

Volume of 12 solid cubes = 109350 / 12

                                          = 9112.5 $cm^{3}$

∴ Side of each smaller cube = $\sqrt[3]{9112.5}$

                                               = 20.8871498 cm

                      approximately = 21 cm

Hope this helps!!! :)

Answer 2

Answer:

45 cm

Step-by-step explanation:

Volume of metallic block = l × b × h

= 2.25m × 1.8m × 27cm

= 225 × 180 × 27 cm^3

= 1093500 cm^3

Volume of 12 solid cube = 1093500 / 12

= 91,125 cm

Side of each of such smaller cube =

$3 \sqrt{91125}$

= 45 cm