What is the density of a 19.74 g object if the dimensions of the block are:
length = 12.6 mm
height = 2.50 cm
width = 0.0140 m
Well, let's first convert all the dimensions to the same unit. The length is already in millimeters, so that's fine. The height is given in centimeters, so that can be converted to millimeters by multiplying by 10. Lastly, the width is given in meters, so we'll convert that to millimeters by multiplying by 1000.
So, the dimensions become:
length = 12.6 mm
height = 2.50 cm * 10 = 25 mm
width = 0.0140 m * 1000 = 14 mm
To find the density, we use the formula: density = mass/volume.
We're given the mass of the object as 19.74 g.
The volume is calculated by multiplying the dimensions of the object: volume = length * height * width.
Plugging in the values, we get:
volume = 12.6 mm * 25 mm * 14 mm = 4,725 mm^3
Now, we can calculate the density: density = 19.74 g / 4,725 mm^3.
But wait, what's this? We're dealing with millimeters and grams here. Talk about a mixed-up situation! It's as if the dimensions are saying "make it small," while the mass is saying "no, make it big!" 🤡
So, let's convert the volume to cubic centimeters (cc) for simplicity. Since 1 cc = 1 milliliter, and 1 milliliter = 1 mm^3, we can say 1 cc = 1 mm^3. Therefore, the volume in cubic centimeters is simply 4,725 cc.
Now, we can finally calculate the density: density = 19.74 g / 4,725 cc.
And there you have it! The density is whatever number you get when you divide 19.74 by 4,725.