Question

Use sixty-four 1-cm cubes to build one big cube on a isometric gric.
a) What is the volume of the big cube?
b) What is the length of each side of the big cube?

Answer 1

Answer:

Total surface area of a cube of side a=6a

2

So, total surface area of 8 cubes =8×6a

2

=48a

2

When eight such cubes are stacked, the resulting figure will be a cube of

length =2a

breadth =2a

height =2a

And total surface area of the cube of side 2a=6(2a)

2

=24a

2

So, % decrease in total surface area =

48a

2

48a

2

−24a

2

×100=50 %.