Question

PLEASE HELP 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.

Answer 1

`8=2*2*2\\8=2*2*2\\2*2*2*2*2*2=4*4*4\\s_(large)=4\\s_(small)=2\\\\SA_(large)=6s^2\\SA_(large)=6(4)^2\\SA_(large)=6(16)\\SA_(large)=96\\\\SA_(small)=8s^3\\SA_(small)=8(2)^3\\SA_(small)=8(8)\\SA_(small)=64\\\\96:64\\(96)/(32):(64)/(32)\\3:2`

3 : 2