# math

posted by .

if you have a large cube with a surface area of 32 and a smaller cube with the surface area of 18 what would the ratio be for the smaller figure to the larger figure
a)2:5
b)5:6
c)3:4
d)6:7

• math -

I 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~ :)

## Similar Questions

1. ### Bio

Please Check my work and help me to answer the questions i could not get. Measure the cube that you are given. Complete the chart on the next page for your cube, then fill in the spaces for two other cubes, one measuring 1 cm on an …
2. ### Bio

Please Check my work and help me to answer the questions i could not get. Measure the cube that you are given. Complete the chart on the next page for your cube, then fill in the spaces for two other cubes, one measuring 1 cm on an …
3. ### algebra

Your friend has a cube of gold. You have a cube of gold that weighs twice as much. Your cube is 1.26as long as your friends, and it has 1.587 times the surface area. You can imagine how this would work with a spherical diamond, so …
4. ### math

if you have a large cube with a surface area of 32 and a smaller cube with the surface area of 18 what would the ratio be for the smaller figure to the larger figure a)2:5 b)5:6 c)3:4 d)6:7
5. ### math

if you have a large cube with a surface area of 32 and a smaller cube with the surface area of 18 what would the ratio be for the smaller figure to the larger figure a)2:5 b)5:6 c)3:4 d)6:7
6. ### Geometry

When finding the surface area of a composite figure, which in this case consists of a square pyramid sitting on top of a cube, I know that the first step is to find the surface area of the cube, but after that I would find the surface …