Question

The density in gold is 27.2 grams per cm. A gold gar in the shape of a rectengular prism, has a length of 23.5 and a width of 28 cm. The mass of the entire bar is 43,892.5 grams. What is the height of the bar?​

Answer 1

Answer:2.381 cm.

Explanation:

The volume of the gold bar can be calculated using the formula for the volume of a rectangular prism:

Volume = Length x Width x Height

We know the length and width of the bar, so we can substitute those values:

Volume = 23.5 cm x 28 cm x Height

We can then solve for the height by rearranging the equation:

Height = Volume / (Length x Width)

To find the volume, we can use the density of gold and the mass of the bar:

Density = Mass / Volume

Volume = Mass / Density

Substituting the values we have:

Volume = 43,892.5 g / 27.2 g/cm³

Volume = 1610.049 cm³

Now we can substitute the volume into the equation we derived earlier to solve for the height:

Height = 1610.049 cm³ / (23.5 cm x 28 cm)

Height = 2.381 cm

Therefore, the height of the gold bar is approximately 2.381 cm.