Question

the lengths of each edge of three soild cubes are 3cm ,4cm .and 5cm .respecrively,a new soild is made by melting theseb threec soild cubes.let us write the length of one edge of the new cube.​

Answer 1

Answer:

216 sq.cm

Step-by-step explanation:

ANSWER

Let x be the edge of the new cube

The volume of the new cube= Sum of the volumes of three cubes

x^3=3^3+4^3+5^3

=27+64+125

=216

x=6

Now, surface area of new cube =6×(edge^2)

=6×6×6

=216sqcm.

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Answer 2

Answer:

Step-by-step explanation:

Length of the edge of first cube = 3cm

Length of the edge of second cube = 4cm

Length of the edge of third cube = 5cm

Let the edge of new cube be x.

Volume of the new cube= Sum of the volume of all three cubes

So, x³ = (3cm)³+(4cm)³+(5cm)³

= 27cm³+64cm³+125cm³

=216cm³

So, volume of the new cube = 216cm³

Therefore, edge of the new cube = cube root of 216

= 6cm