Question

Each surface area of a cube is $100c{m}^2$. If parallel surface of base cut the cube in two equal parts then total surface area of each equal part.

Answer 1

Each face $=100c{m}^2$

$a^2=100c{m}^2$

$a=10cm$

Total surface area of each equal part $=2a^2+4{\left(\frac{a}{2}\right)}^2$

$=2a^2+\frac{4a^2}{4}$

$=3a^2=3(10{)}^2=300c{m}^2$