Question

If each edge of a cube is halved. How many times will the SA decrease?

• A. $4$ times
• B. $3$ times
• C. $2$ times
• D. $5$ times

Answer 1

The correct option is A $4$ times

SA of cube $=6a^2,nowifa=\frac{a}{2}$

New $SA=6{\left(\frac{a}{2}\right)}^2=\frac{6}{4}{a}^2$

Ratio of new/old $=\frac{\frac{6}{4}{a}^2}{6a^2}=\frac{1}{4}$