Question

A block of iron has a density of 7.874 g/cm³ and a mass of 5905.5 grams. If the block

is 15 cm long and 5 cm wide, what is the height?

Answer 1

To find the height of the iron block, we can use the formula for density and rearrange it to solve for the height.

Step-by-step explanation:

To find the height of the iron block, we can use the formula for density:

Density = Mass/Volume

The volume of the block can be calculated using the formula:

Volume = Length x Width x Height

Given that the density of the block is 7.874 g/cm³, the mass is 5905.5 grams, the length is 15 cm, and the width is 5 cm, we can rearrange the formula for density to solve for the height:

Height = Mass/(Density x Length x Width)

Plugging in the values, we have:

Height = 5905.5 g/(7.874 g/cm³ x 15 cm x 5 cm)

After evaluating the expression, the height of the iron block is approximately 5 cm.

Learn more about Calculating the height of an object based on its density