three cubes whose edges measure 3cm,4cm,and 5cm respectively to form a

1.	three cubes whose edges measure 3cm,4cm,and 5cm respectively to form a single cube find its edge. Also find the surface area of new cube.
Answer» align="ABSMIDDLE" alt="{\huge{\star{\underbrace{\tt{\red{Answer}}}}}}{\huge{\star}}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%7B%5Chuge%7B%5Cstar%7B%5Cunderbrace%7B%5Ctt%7B%5Cred%7BAnswer%7D%7D%7D%7D%7D%7D%7B%5Chuge%7B%5Cstar%7D%7D" title="{\huge{\star{\underbrace{\tt{\red{Answer}}}}}}{\huge{\star}}"> $\Large{\mathcal{\underline{\underline{Given \ :-}}}}$ ${\odot{}}$ Edges of cubes = 3cm , 4cm and 5cm $\Large{\mathcal{\underline{\underline{To \ find \ :-}}}}$ ${\odot{}}$ Edge of new cube ${\odot{}}$ Surface AREA of new cube $\Large{\mathcal{\underline{\underline{Solution \ :-}}}}$ ${\purple{\star{}}}$ Since the small cubes are USED to form the big cube. ${\therefore{}}$ VOLUME of big cube = Sum of volume of small cubes ${\boxed{\sf \ Volume \ of \ cube \ = \ {side}^{3} }}$ ${\sf{\mapsto \ Volume \ of \ big \ cube \ = \ {3}^{3} + {4}^{3} + {5}^{3} }}$ ${\sf{\mapsto \ Volume \ of \ big \ cube \ = \ 27+64+125 }}$ ${\sf{\mapsto \ Volume \ of \ big \ cube \ = \ 216 {cm}^{3} }}$ ${\mathfrack{\Large{Now}}}$ ${\sf{\leadsto \ Volume \ of \ big \ cube \ = \ 216 {cm}^{3} }}$ ${\sf{\leadsto \ {side}^{3} \ = \ 216 {cm}^{3} }}$ ${\sf{\leadsto \ side \ = \ \sqrt[3]{216} }}$ ${\sf{\leadsto \ side \ = \ 6 cm}}$ ${\bold{\underline{\sf \ Hence \ edge \ of \ cube = 6 cm}}}$ ${\boxed{\sf \ Surface \ area \ of \ cube = 6 {side}^{2} }}$ ${\sf{\hookrightarrow \ Surface \ area \ of \ new \ cube = 6 \times 6 \times 6}}$ ${\bold{\hookrightarrow \sf \ Surface \ area \ of \ new \ cube = 216 {cm}^{2} }}$

three cubes whose edges measure 3cm,4cm,and 5cm respectively to form a single cube find its edge. Also find the surface area of new cube.

Answer»

align="ABSMIDDLE" alt="{\huge{\star{\underbrace{\tt{\red{Answer}}}}}}{\huge{\star}}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%7B%5Chuge%7B%5Cstar%7B%5Cunderbrace%7B%5Ctt%7B%5Cred%7BAnswer%7D%7D%7D%7D%7D%7D%7B%5Chuge%7B%5Cstar%7D%7D" title="{\huge{\star{\underbrace{\tt{\red{Answer}}}}}}{\huge{\star}}">

$\Large{\mathcal{\underline{\underline{Given \ :-}}}}$