Question

the density of gold is 19.3 g/ml. if you had a cube made of pure gold that weighs 58.1 pounds what would be the lengh of a side of this cube

Answer 1

11.1 cm

Step-by-step explanation:

First we convert 58.1 pounds into grams:

• 58.1 lb *
  `(453.592g)/(1lb)` = 26353.69 g

Then we calculate the volume of the gold cube, using the given density:

26353.69 g ÷ 19.3 g/mL = 1365.48 mL

• 1365.48 mL is equal to 1365.48 cm³.

With the volume of a cube we can calculate the side length:

• Length = ∛(1365.48 cm³) = 11.1 cm