Question
Find the volume of a cube whose surface area is $384 m^2$.
✓
Answer
Surface area of a cube is given by:
$SA =6 s^2$, where $s=$ Side of the cube
Further, volume of a cube is given by:
$V = s ^3$, where $s =$ Side of the cube
It is given that the surface area of the cube is $384 m^2$. Therefore, we have:
$6 s^2=384$
$\Rightarrow s=\sqrt{\frac{384}{6}}$
$=\sqrt{64}=8 m$
Now, volume is given by:
$V=s^3=8^3$
$\Rightarrow V=8 \times 8 \times 8=512 m^3$
Thus, the required volume is $512 m^3$.
$SA =6 s^2$, where $s=$ Side of the cube
Further, volume of a cube is given by:
$V = s ^3$, where $s =$ Side of the cube
It is given that the surface area of the cube is $384 m^2$. Therefore, we have:
$6 s^2=384$
$\Rightarrow s=\sqrt{\frac{384}{6}}$
$=\sqrt{64}=8 m$
Now, volume is given by:
$V=s^3=8^3$
$\Rightarrow V=8 \times 8 \times 8=512 m^3$
Thus, the required volume is $512 m^3$.
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