Let's imagine the steel pin is a tiny, heavy Lego block. This Lego block is made of steel, which means it is quite heavy for its size. The density of the steel pin is like how tightly packed the Lego block is with material. So, if the Lego block is very dense, it will be heavy for its size. The density of the steel pin is 8.00 grams per cubic centimeter, which is a fancy way of saying how much stuff is crammed into each little space inside the pin.
Now, let's talk about volume. The volume of the steel pin is like how much space the Lego block takes up. If you put it in a bathtub full of water, the volume is the amount of water it would displace. In this case, the steel pin has a volume of 1.17 cubic centimeters. It's like saying the Lego block takes up a tiny space when you put it inside a measuring cup.
To find the mass of the steel pin, we need to use the formula: mass = density x volume. In our Lego block analogy, this formula would be like saying the weight of the Lego block is how much material is stuffed inside it.
So, if we plug in the values for the steel pin (density = 8.00 grams per cubic centimeter, volume = 1.17 cubic centimeters) into the formula, we can calculate the mass of the steel pin. By multiplying the density by the volume, we get the mass of the steel pin, which is the weight of our heavy Lego block.
After doing the math, the mass of the steel pin is calculated to be 9.36 grams. So, our tiny, heavy Lego block has a mass of 9.36 grams. It's like saying our steel pin weighs as much as a few coins in your pocket!