Monday

September 22, 2014

September 22, 2014

Posted by **ana** on Thursday, May 17, 2012 at 1:00am.

a)2:5

b)5:6

c)3:4

d)6:7

- math -
**Jai**, Thursday, May 17, 2012 at 6:05amI think you mean, the ratio of the lengths of the smaller and larger cube.

Recall that the surface area of a cube is given by

SA = 6s^2

where s = length of one side

then we get the length of one side of each cube.

Larger:

32 = 6s^2

16/3 = s^2

s = 4/sqrt(3)

Smaller:

18 = 6s^2

3 = s^2

s = sqrt(3)

Finally, we get the ration of smaller length to larger length:

sqrt(3) / (4/sqrt(3))

sqrt(3)*sqrt(3) / 4

3/4 or 3:4

hopw this helps~ :)

**Answer this Question**

**Related Questions**

math - if you have a large cube with a surface area of 32 and a smaller cube ...

math - if you have a large cube with a surface area of 32 and a smaller cube ...

Bio - Please Check my work and help me to answer the questions i could not get. ...

Bio - Please Check my work and help me to answer the questions i could not get. ...

algebra - Your friend has a cube of gold. You have a cube of gold that weighs ...

bio - How does the surface area-to-volume ratio of a 1-mm cube compare to the ...

Geometry - When finding the surface area of a composite figure, which in this ...

Math - Need some help with this problem. If you have a cube that is made up of ...

math: advanced geometry - if the surface area of a sphere equals the surface ...

Math--Volume and Surface Area - The volume of a cube is 125 cubic inches. Find ...