A rod of iron of uniform density has a thickness such that a one-inch-long segment of it weighs 3. 88 ounces. Given that there are 0. 035273 ounces in a gram and 2. 54 centimeters in an inch, how many grams would a 14. 79 cm length of the same iron rod weigh? a. 73. 30 g b. 274. 49 g c. 640. 51 g d. 1,626. 89 g.

Respuesta :

The number of grams of iron present in 14.79 cm length of the same iron rod is 640.51 g.

What is ounces?

Ounces is a unit of mass which is used to define a very little amount of anything.

In the question, given that:

In one inch of iron rod whose weighs is 3.88 ounces = 2.54 cm long

In 1 g = 0.035273 ounces present

So we can calcuylate the number of grams in which 3.88 ounces present as:
x = (3.88 ounces) / (0.035273 ounces/g)

x = 110g

So, in 110g = 3.88 ounces present

And in 2.54 cm = 110g of iron present

In 14.79 cm, present grams of iron can be calculated as:

y = (14.79cm x 110g) / 2.54cm

y = 640.51 g

Hence option (c) is correct i.e. 640.51 g.

To know more about ounces, visit the below link:
https://brainly.com/question/24505595

The weight of the iron rod with 14.79 cm length with same density is given by: Option C; 640.51 g

How are density, volume and mass of a substance related?

Suppose that a finite amount of substance is there having its properties as:

  • mass of substance = m kg
  • density of substance = d kg/m³
  • volume of that substance = v m³

Then, they are related as:

[tex]d = \dfrac{m}{v}[/tex]

We know that:

  • 1 ounce = 28.3495 g approx

Now, from the facts given in the problem, we have:

The weight of first iron rod which is one inches long = 3.88 ounces

The new rod is 14.79 cm long. And 1 cm = 0.3937 inches approx, thus the new rod is: [tex]14.79 \times 0.3937 \approx 5.8228 \: \rm inches[/tex]

As for 1 inch long rod, there is  weight of 3.88 ounces, thus:

for 5.8228 inch rod, the weight of the rod would be [tex]5.8228 \times 3.88 \approx 22.5924 \: \rm ounces[/tex]

And since 1 ounce = 28.3495 g approx

Thus, weight of the new rod in grams would be [tex]22.5924\times 28.3495 \approx 640.485 \approx 640.51\: \rm g[/tex]

Thus, the weight of the iron rod with 14.79 cm length with same density is given by: Option C; 640.51 g

Learn more about density here:

https://brainly.com/question/952755