Question

If each side of a cube is doubled, its surface area

(a) is doubled

(b) becomes 4 times

(c) becomes 6 times

(d) becomes 8 times

Answer 1

Let side of cube in fist case =a

Then surface area $=6a^2$ and side of second cube =2a

Surface area $=6(2a{)}^2=6\times 4a^2=24a^2$

$\therefore$ Ratio $=\frac{24a^2}{6a^2}=4$

$\therefore$ Becomes 4 times