Question

The metallic cuboid $100cm\times 80cm\times 64cm$ is recast into a cube. The surface area of the cube is

• A. $19200c{m}^2$
• B. $31600c{m}^2$
• C. $38400c{m}^2$
• D. $25600c{m}^2$

Answer 1

The correct option is C $38400c{m}^2$

$a^3=100\times 80\times 64\Rightarrow a^3=8^3\times {10}^3\Rightarrow a=80\Rightarrow 6a^2=6\times {80}^2=38400$.