Question

if a cube with the length of the side of 4 cm is cut into smaller cubes with the length of the side of 1 cm, then what is the percentage increase in the surface area of the resulting cubes?

Answer 1

surface area of cube is given by_
${6a}^{2}$
for large cube of side 4cm =96

for smaller cube surface area =
$16 \times 6 \times {1}^{2} = 384$
net increase in surface area = 384-96/96
=3 times of initial


so percentage increase is 300%