Question

Three metals cubes whose edges measure 3 cm 4 cm and 5 cm respectively are melted to form a single cube find its edge also find the surface area of new cube formed

Answer 1

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Answer 2

$\textbf{\huge{ANSWER:}}$

$\sf{Given:}$

3 metal cubes of edges $\textbf{3 cm, 4 cm, 5cm}$ are melted to form a single cube.

We know:-

Volume of a cube = $a^{3}$, where a = side

Volume of new cube formed = Volume of the 3 cubes

=》 Volume = $3^{3} + 4^{3} + 5^{3} (cm^{3})$

=》 Volume = $216 cm^{3}$

Side of new cube formed = $\sqrt[3]{Volume}$

=》 Side = $\sqrt[3]{216}$ (cm)

=》 Side = $\textbf{6 cm}$

Surface Area of a cube = $6a^{2}$, where a = side

=》 Surface Area = 6 × $6^{2} cm^{2}$

=》 Surface Area = 6 × 36 $cm^{2}$

=》 Surface Area = $216 cm^{2}$