Question

Q:
A metal cube weighs 5/9kg and its volume is 40 5/6cm3. How much does it weigh per 1cm3?

5/9kg to .555kg
40 5/6cm3 to 40.833cm3

.555kg / 40.833cm3 = .0135

A:
1cm3 weighs .0135kg

Is this correct?
Thank you.

Answer 1

(5/9) / x = (245/6) / 1

245x/6 = 5/9
245x = 6(5/9) = 10/3
x = 10/735 = 2/147 or appr .0136

1 cm^3 weighs 2/147 kg

you are correct,
notice that since the original data was given in exact fractions, it might be a good idea to state the answer as a fraction

Answer 2

Thank you, Reiny.
I'm wondering with the way you did the problem, where did you get the number 245 from?

Answer 3

40 5/6 = 240/6 + 5/6
= 245/6

review how to change a mixed fraction to a usable fraction.

Answer 4

I appreciate the help, Reiny. I will review about usable fractions.