Question

From each face of the given cube, an unit cube (shaded) is cut out. What will be the surface area of the remaining portion of the cube (in cm2)?​

Answer 1

Vol. of 4cm cube =(4)

3

cm

3

=64cm

3

Vol. of 1cm cube =(1)

3

cm

3

=1cm

3

Total no. of 1cm cubes =

Vol. of 1 cm cube

Vol.of 4 cm cube

=

1

64

=64

Surface area of 1 cube =6(side)

2

cm

2

Surface area of 1 cube =6(1)

2

cm

2

Surface area of 1 cube =6cm

2

Total surface area of all small cubes =64×6cm

2

=384cm

2