The density of titanium is 4.51 gcm3. What is the volume (in cubic inches) of 2.54 lb of titanium?

Question

The density of titanium is 4.51 g>cm3. What is the volume (in cubic inches) of 2.54 lb of titanium?

Accepted Answer

hi everyone for this problem we're being asked to calculate the volume and cubic inches of £1.6 of gold. Given that its density is 19.3 g per cubic centimeter. So here we have volume and we have density. So let's write out our density equation which is density is equal to mass over volume. Where are row here represents our density and they gave it to us in a unit of grams per cubic centimeter, which means our mass is in grams and our volume is in cubic centimeters. But they ask us to calculate the volume in cubic inches. So let's rearrange this equation so that it's solving for volume. When we do that, we get volume is equal to mass over density and Our mass, they tell us is £1.6. So we know that our mass needs to be in grams. So we need to go from £1.6.02 grams and We can do that using unit conversions and one pound there is 400 And 53 g. So our units of pounds cancel here. And this converts to 724. grams. So we can go ahead and plug that in here For our numerator. Our mass is 724. g over our density which was given At 19.3 grams per cubic centimeter. So are grams cancel. And we're left with cubic, there should be a cube right here. This leaves us with cubic centimeters as our unit. And so once we solve this we get an answer of 37.5 cubic centimeters as our volume. But the question asks us for the volume and cubic inches so we need to convert from centimeters two inches. So using our unit conversions in one cubic inch There is two cubic centimeters. And once we do that, our cubic centimeters cancel. And remember when you plug this into our calculator, we need two cubit. So this is going to be 37.5 cubed, divided by 2.54 cubed. And once we do that, we get a final answer of 2.29 cubic inches and that is our final answer. This is our volume and cubic inches of £1. of gold. Given that its density is 9.19 point three g per cubic centimeter. I hope this was helpful.

The density of titanium is 4.51 g>cm3. What is the volume (in cubic inches) of 2.54 lb of titanium?

Verified Solution

Key Concepts

Density

Unit Conversion

Volume Calculation