Question

find the side of cube whose t.s.a
is 384sq.cm​

Answer 1

Total surface area of a cube = 6×side²

384 = 6×side²

side² = 64

side = 8cm

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Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{Side\:of\:square=8\:cm}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ : \implies \text{T.S.A \: of \: cube = 384 \:{cm}}^{2} \\ \\ \red{\underline \bold{To \: Find :}} \\ : \implies \text{Side \: of \: cube = ?}$

• According to given question :

$\bold{As \: we \: know \: that } \\ \circ \: \text{T.S.A \: of \: cube =} 6 \times \text{{side}}^{2} \\ \\ \text{Putting \: given \: values} \\ : \implies 384 = 6 \times {a}^{2} \\ \\ : \implies \frac{384}{6} = {a}^{2} \\ \\ : \implies {a}^{2} = 64 \\ \\ : \implies {a}^{2} = {8}^{2} \\ \\ \bold{As \: we \: know \: that \: both \: side \: power }\\ \bold{are \: same \: so \: bases \: are \: also \: same}\\ \green{: \implies a = 8 \: cm} \\ \\ \green{\therefore \text{Side \: of \: square = 8 \: cm}}\\\\ \bold{Some\:formula's\:related\:to\:this\:topic}\\ \\ \circ\:\text{C.S.A\:of\:cube=4}\times\:side^{2}\\\\ \circ\:\text{Volume\:of\:cube=side}^{2}$