The density of a crystal is 2.65 grams per cubic centimeter. Ryan has a rectangular prism made of quartz. It measures 10 cm by 10 cm by 6 cm. Find the weight of this crystal in kilograms.
I'd love to have a magnificent crystal this size!
Volume of crystal = 10*10*6=600 c.c.
Density = 2.65 g/c.c.
So
Total mass
=600*2.65 g
=600*2.65/1000 kg
=...
Thank you!!
You're welcome!
To find the weight of the crystal, we need to use the formula:
Weight (in grams) = Volume (in cubic centimeters) * Density (in grams per cubic centimeter)
First, let's calculate the volume of the crystal:
Volume = Length * Width * Height
Volume = 10 cm * 10 cm * 6 cm
Volume = 600 cubic centimeters
Next, we can use the density and volume to find the weight:
Weight = Volume * Density
Weight = 600 cubic centimeters * 2.65 grams per cubic centimeter
Weight = 1590 grams
Finally, to convert the weight from grams to kilograms, we divide by 1000:
Weight in kilograms = 1590 grams / 1000
Weight in kilograms = 1.59 kilograms
Therefore, the weight of the crystal is 1.59 kilograms.