Posted by **Jessica** on Wednesday, June 1, 2011 at 5:36pm.

The density of aluminum is 2.70g/cm3. If a cube of aluminum weighs 13.5 grams whatis the length of the edge of the cube. I need help with the formula to figure this one out.

- Chemistry -
**DrBob222**, Wednesday, June 1, 2011 at 5:49pm
mass = volume x density

Solve for volume.

Then, since this is a cube, the length, width, and height are equal. So

volume = L x W x H but since L = W = H, then

volume = L x L x L. Solve for L.

- Chemistry -
**Jessica**, Wednesday, June 1, 2011 at 6:22pm
Hello Dr Bob,, I am still a little confused is this what it will look like 13.5/2.70=5 then take 5*5*5=125

- Chemistry -
**DrBob222**, Wednesday, June 1, 2011 at 6:34pm
Close but no cigar.

Volume = mass/density = 13.5/2.7 = 5.0 cc whis is ok to this point. Now,

volume = L x L x L

5 = L x L x L

5 = L^{3}; therefore,

L = cube root 5 OR

L = 5^{1/3}

(On your calculator, enter 5, then punch the y^x button, and type in .33333 (which is 1/3) and = to find the answer of 1.70997 which rounds to 1.71 cm to three significant figures.

- Chemistry -
**Jessica**, Wednesday, June 1, 2011 at 10:37pm
Thank you DR Bob

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