Question

Three cubes of metal whose edges are 6 cm, 8 cm, and 10 cm respectively are melted to form a single cube. Find the edge of the new cube.
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Answer 1

Answer:

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Length of edge of first cube=6 cm

Length of edge of second cube=8 cm

Length of edge of third cube= 10 cm

Since three cubes are melted to form a single cube.

that means volume of three cubes = volume of new cube.

$= {6}^{3} + {8}^{3} + {10}^{3}$

$\Large {= 1728}$

$1748 = {x}^{3}$

$\sqrt[3]{1728}$

$\Large {= x = 12}$

.°. The edge of new cube is 12 cm.

Answer 2

Answer:

Length of edge of first cube=6 cm

Length of edge of second cube=8 cm

Length of edge of third cube= 10 cm

Since three cubes are melted to form a single cube.

that means volume of three cubes = volume of new cube.

= {6}^{3} + {8}^{3} + {10}^{3}=63+83+103

\Large {= 1728}=1728

1748 = {x}^{3}1748=x3

\sqrt[3]{1728}31728

\Large {= x = 12}=x=12

.°. The edge of new cube is 12 cm