Question

Three metallic solid cubes whose edges are 12cm, 16cm and 20cm respectively are melted and formed into a single cube. Find the edge of the cube so formed.
I need the answer including all steps and the cube root factorisation should also be there

Answer 1

Answer:

Step-by-step explanation:

Let The volume of newly formed cube be A^3

:..= the volume of 3 cubes will be equal to the new cube.

I hope it answers correctly

Answer 2

Answer:

Hey mate! Here's your answer

Step-by-step explanation:

volume of new cube = sum of volumes of three old cubes

volume of 1st cube =

a = 12 cm

a^3 = 12 x 12 x 12 = 1728 cm^3

volume of 2nd cube =

a = 16 cm

a^3 = 16 x 16 x 16 = 4096 cm^3

volume of 3rd cube =

a = 20 cm

a^3 = 20 x 20 x 20 = 8000 cm^3

volume of newly formed cube = 1728 + 4096 + 8000 = 13824 cm^3

a^3 = 13824 cm

a = 3√13824 = 24cm

Hope it helped! Please mark as brainliest!