The volume of a cube is 512 cm3.

Question:

The volume of a cube is 512 cm3. Its total surface area is
(a) 256 cm2
(b) 384 cm2
(c) 512 cm2
(d) 64 cm2

Solution:

(b) $384 \mathrm{~cm}^{2}$

Suppose that a cm is the edge of the cube.
We have:

$a^{3}=512$

$\Rightarrow a=\sqrt[3]{512}=8 \mathrm{~cm}$

$\therefore$ Total surface area of cube $=6 a^{2} \mathrm{~cm}^{2}$

$=6 \times 8 \times 8 \mathrm{~cm}^{2}=384 \mathrm{~cm}^{2}$

 

Leave a comment

Close
faculty

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now