Question

The total length of the edges of a cube is $96cm$. What is the difference in the numbers denoting its total surface area and volume ?

• A. $128$
• B. $512$
• C. $384$
• D. $896$

Answer 1

The correct option is A $128$

Sum of all edges $=96$cm

$\Rightarrow 12.a=96$

$\Rightarrow a=\frac{96}{12}$

$\Rightarrow a=8$

Length of the edge $=8$cm

Total surface area $=6a^2$

$=6\cdot 8\cdot 8$

$=6\cdot 64$

$=384c{m}^2$

Volume $=a^3$

$=8\times 8\times 8$

$=512c{m}^3$

Difference of volume and total surface area $=512-384$

$=128$

$\therefore$ So, the answer is $128$.