First question! Need help asap.

1. Consider eight, eight-cubic centimeter (8 cm3) sugar cubes stacked so that they form a single 2 x 2 x 2 cube. How does the surface area of the single, large cube compare to the total surface area of the individual eight cubes? Report your answer as a ratio. Be sure to show all calculations leading to an answer.

Question

First question! Need help asap.

1. Consider eight, eight-cubic centimeter (8 cm3) sugar cubes stacked so that they form a single 2 x 2 x 2 cube.  How does the surface area of the single, large cube compare to the total surface area of the individual eight cubes?  Report your answer as a ratio.  Be sure to show all calculations leading to an answer.

anonymous · Answer

The 8cm3 is supposed to be 8cm^3

michele_laino · Answer

hint:
the edge of a single cube is:
L= third root(8)= 2cm
and the total surface area is S= 6*L^2 = 6*2*2=...cm^2
the edge of the 2 x2 x2 cube is L_1= 2*2= 4cm
and the total surface area is S_1= 6*L_1^2= 6* 4*4 =...cm^2
so, the requested ratio is:
S_1/S =...?