A rectangular brick measures 6cm by 9cm by 20cm and has a mass of 2.563 kilograms. What is the density of the brick in grams per cubic centimeter?
1 kgm = 1000gm
density = mass/volume
density = (2.563 * 1000)/(6 * 9 * 20) = ?
To find the density of the brick in grams per cubic centimeter, we need to divide the mass of the brick by its volume. The mass is given as 2.563 kilograms.
Now, let's calculate the volume of the brick. The volume of a rectangular prism can be found by multiplying its length, width, and height. In this case, the length is 6cm, the width is 9cm, and the height is 20cm.
Volume = length x width x height
= 6cm x 9cm x 20cm
= 1080 cubic cm
Now we have both the mass and the volume. To find the density, we divide the mass by the volume.
Density = mass / volume
= 2.563kg / 1080 cubic cm
To convert the mass from kilograms to grams and the volume from cubic centimeters to grams, we need to multiply the mass by 1000 and divide the volume by 1000.
Density = (2.563kg * 1000) / (1080 cubic cm / 1000)
= 2563 grams / 1.08 cubic cm
So, the density of the brick is approximately 2374.07 grams per cubic centimeter.