Question

1. Consider eight, eight-cubic centimeter (8 cm^3) 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?

Answer 1

If I read the question right, the the surface area of a single sugar cube would be 6 square cm, so if you multiply that by 8 then it would be a total of 48 square cm. While the surface area of the large cube would be 24 square centimeters.
8 single sugar cubes surface area total: 48 square cm
Large sugar cube surface area: 24 square cm
The large sugar cube has a total surface area that is half as much as the 8 single sugar cube's surface area.

Answer 2

so if i turn this into a ratio it would read 48:24 or 2:1?

Answer 3

Sort of.
They're asking for single large cube (24) compared to the 8 sugar cubes (24)
So It would be 24:48
and then to simplify it, you would say 1:2

Answer 4

You always have to make sure you're putting the ratio in the order they want you to.
In this case they asked you to put it in the order of the surface area of the single large cube to go first before the ':' sign and the total surface area of the 8 single cubes to go after

Answer 5

Nice try but I'm working with sugar cubes that are 8 cubic centimeters, not 1 cubic centimeter. It seems to me that your answer is wrong

Answer 6

i figured it out

Answer 7

Okay well the single cube's surface area would be 384 cm squared
So you'd multiply that by 8 and get 3072 cm squared.
And the surface area of the large cube would be 1536 cm squared
So it would be 1536:3072
I can't simplify it right now since I have to go to school
Sorry!