Question
The total surface area of a cube is $294\ cm^2.$ Find its volume.
✓
Answer
Given that:
$\text{T.S.A.}$ of cube $=294 \ cm ^2$
i.e., $6 \times|x|=294 \ldots\left[\because\right. \text{T.S.A.}$ of cube $\left.=6 \times\left.\right|^ 2\right]$
$1^2=\frac{294}{6}$
$1^2=49$
$I=\sqrt{49}$
$=7 \ cm$
$\therefore$ Side $( l )=7 \ cm$
$\therefore$ Volume of cube
$=|x| x \mid$
$=7 \times 7 \times 7$
$=343 \ cm ^3$.
$\text{T.S.A.}$ of cube $=294 \ cm ^2$
i.e., $6 \times|x|=294 \ldots\left[\because\right. \text{T.S.A.}$ of cube $\left.=6 \times\left.\right|^ 2\right]$
$1^2=\frac{294}{6}$
$1^2=49$
$I=\sqrt{49}$
$=7 \ cm$
$\therefore$ Side $( l )=7 \ cm$
$\therefore$ Volume of cube
$=|x| x \mid$
$=7 \times 7 \times 7$
$=343 \ cm ^3$.
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