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  • Three metallic solid cubes whose edges are 3 cm, 4 cm and 5 cm are melted and formed into a single cube.Find the edge of the cube so formed.

Three metallic solid cubes whose edges are 3 cm, 4 cm and 5 cm are melted and formed into a single cube. Find the edge of the cube so formed.

Answers (1)

Answer 6 cm

Solution

            It is given that there are three cubes of sides

            a_{1}=3cm , a_{2}=4cm, a_{3}=5cm

            The volume of the cube formed by melting these three cubes = volume of first + volume of second + volume of the third.

            Let the edge of the cube formed by melting these three cubes is a_{4} .

                        (a_{4})^3=(a_{1})^3+(a_{2})^3+(a_{3})^3

                        (a_{4})^3=27+64+125

                        (a_{4})^3=216

                        (a_{4})^3=(6)^3

                        a_{4}=6cm

            Hence the edge of the cube formed is 6 cm.

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