contestada

Each 12 foot tall steel column is a rectangular prism, with a volume of 24 cubic feet. Steel is mostly composed of
iron and carbon (carbon represents 4% of its mass). The chemical formula for one steel molecule is Fe3C.
The mass of 1 cubic foot of steel is 490lbs.
9. If the depth of each column is one half its width, what are the dimensions (length, width and depth) of each
column?
10. How much iron was used to make one column?

Respuesta :

Lanuel

The dimensions of each column of this rectangular prism are 1/12, 24, and 12 foot respectively. Also, 11,289.6 lbs of iron was used to make one column.

Given the following data:

  • Depth = 12 foot.
  • Volume = 24 cubic feet.

How to calculate the length of this rectangular prism?

First of all, we would determine the width of this rectangular prism by using this expression:

Depth = ½ × width;

Therefore, width = 2 × depth = 2 × 12 = 24 feet.

Mathematically, the volume of a rectangular prism can be calculated by using this formula:

V = Length × Width × Depth

24 = Length × 24 × 12

Length = 1/12 feet.

How to calculate the quantity of iron?

The total weight of this steel is given by:

Total weight = 24 × 490

Total weight = 11,760 lbs.

Since carbon represents 4% of the mass of steel, the mass of iron is given by:

Mass of iron = 100 - 4 = 96%

Quantity of iron = 96/100 × 11,760

Quantity of iron = 11,289.6 lbs.

Read more on rectangular prism here: brainly.com/question/3867601

#SPJ1

Otras preguntas