three cubes of iron whose edges are 6 cm, 8 cm and 10 cm respectively are melted and formed into a single cube. the edge of the new cube formed is
Choose the correct choice from the following choices
A) 10 cm
B) 12 cm
C) 16 cm
D) 18 cm
E) none
<gadget id="calculator">10 ** 3</gadget>
<output>1_000</output>

<gadget id="calculator">6 ** 3</gadget>
<output>216</output>

<gadget id="calculator">8 ** 3</gadget>
<output>512</output>

<gadget id="calculator">216 + 512</gadget>
<output>728</output>

<gadget id="calculator">1_000 + 728</gadget>
<output>1_728</output>

<gadget id="calculator">1_728 ** (1/3)</gadget>
<output>12</output>

<result>B</result>
three cubes of iron whose edges are 6 cm, 8 cm and 10 cm respectively are melted and formed into a single cube. the edge of the new cube formed is
cube_edge_by_volume(add(volume_cube(10), add(volume_cube(6), volume_cube(8))))
sol . volume of the new cube = ( 63 + 83 + 103 ) cm 3 = 1728 cm 3 . let the edge of the new cube be a cm . ∴ a 3 = 1728 ⇒ a = 12 . answer b