Question

total surface area of the cubeis 54cm2. then find its side​

Answer 1

$\huge{\underline{\red{\rm{Solution:}}}}$

→ $\mathrm{Total\:Surface\:Area\:Of\:Cube=}$ $\sf 54 {cm}^{2}$ - eq (1)

→Formula for TSA of cube = $\sf 6 {a}^{2}$ - eq (2)

Now, let us equate the two equations -

→ $\sf 54 {cm}^{2}$ = $\sf 6 {a}^{2}$

→ $\sf {a}^{2}$ = $\dfrac {54}{6}$

→ $\sf {a}^{2}$ = 9

→ a = $\sqrt9$

→ a = 3

$\bold{\red{Side\:of\:cube\:is\:3\:cm}}$

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