Question

A cube of side 4 cm is cut into cubes of side 1 cm. Find the ratio of the surface area of the original cube to that of cut out cube.

• A. 4:1
• B. 8:1
• C. 16:1
• D. 64:1

Answer 1

The correct option is C

16:1

Given, the ratio of the edge length of the original cube to cut out cube = 4:1
Surface area of cube = $6{\left(side\right)}^2$
$\text{Required ratio}=\frac{Surfaceareaoforiginalcube}{Surfaceareaofnewcube}=\frac{6\times 4^2}{6\times 1^2}=\frac{16}{1}$
$\therefore$ Required ratio = 16:1