Question

if the total surface area of a cube is numerically equal to its volume, then what is the lateral
surface area of the cube in sg units?​

Answer 1

Answer:

144 Unit.....

Step-by-step explanation:

Let , side of the cube be x

According to the question ,

\begin{gathered} < /p > < p > \sf \implies TSA \: of \: cube = Volume \: of \: cube \\ \\ \sf \implies < /p > < p > 6 {(a)}^{2} = {(a)}^{3} \\ \\ \sf \implies < /p > < p > a = 6 \end{gathered}

</p><p>⟹TSAofcube=Volumeofcube

⟹</p><p>6(a)

2

=(a)

3

⟹</p><p>a=6

We know that ,

\huge{ \star} \: \large \fbox{ \fbox{ \sf \: LSA \: of \: cube = 4 {(a)}^{2} \: }}

\begin{gathered} \sf \implies LSA \: of \: cube = 4 × {(6)}^{2} \\ \\ \sf \implies < /p > < p > LSA \: of \: cube = 4 × 36 \\ \\ \sf \implies < /p > < p > LSA \: of \: cube = 144 \: \: < /p > < p > units\end{gathered}

⟹LSAofcube=4×(6)

2

⟹</p><p>LSAofcube=4×36

⟹</p><p>LSAofcube=144</p><p>units

Therefore , 144 units is the LSA of cube

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