#1**+1 **

This question was already posted by you and answered.

Edit: If you still don't understand, ask on your previous quesiton thread instead of reposting.

HELPMEEEEEEEEEEEEE Apr 27, 2020

#2**0 **

Masses are related by their volumes.

If two solids are similar their volumes are related to their corresponding lengths by their cubes in this way:

If a length of solid A has length "L_{a}" and the corresponding length of solid B has length "L_{b}"

and if the volume of solid A has volume "V_{a}" and the volume of solid B has volume "V_{b}",

then: V_{a} / V_{b} = (L_{a})^{3} / (L_{b})^{3}.

Also, for areas (by their squares): A_{a} / A_{b} = (L_{a})^{2} / (L_{b})^{2}

Let's use this area relationship to find the lengths and then use these lengths to find the volumes.

A_{a} / A_{b} = (L_{a})^{2} / (L_{b})^{2} ---> 40.32 / 28 = (L_{a})^{2} / (L_{b})^{2} ---> sqrt(40.32) / sqrt(28) = L_{a} / L_{b}

Now, let's use the volume formula ---> V_{a} / V_{b} = (L_{a})^{3} / (L_{b})^{3} ---> V_{a} / V_{b} = [ sqrt(40.32) ]^{3} / [ sqrt(28) ]^{3}

V_{a} = [ sqrt(40.32) ]^{3} = 256.024 V_{b} = [ sqrt(28) ]^{3} = 148.162

We can now use these values for the volumes to find the mass of A:

mass(A) / mass(B) = V_{a} / V_{b} ---> mass(A) / 6912 = 256.024 / 148.162

---> mass(A) = 11944 grams

geno3141 Apr 27, 2020

#4**+1 **

Make sure you're learning from this and not just looking for the answers!!

HELPMEEEEEEEEEEEEE
Apr 27, 2020

#5**+1 **

Check the answer given at : https://web2.0calc.com/questions/math-problem_67#r1 where you first asked it. Don't repeat a question without checking the original!

NB Geno made a slight mistake by inverting the ratio on the RHS.

Alan
Apr 27, 2020

#6**0 **

But if A is smaller then B and they are made from the same material, how is the answer 11943.94?

mathsmat
Apr 27, 2020