A block has length 9.50 mm, width 10.25 mm, and height 50.80 mm. If its mass is 38.7323 grams, what is
its density in grams/cm3?
9.50 mm = 0.950 cm
10.25 mm = 1.025 cm
50.80 mm = 5.090 cm
multiply length x width x height in cm then
density = mass in grams/volume in cc
Post your work if you get stuck.
To find the density of an object, we need to divide its mass by its volume.
First, we need to calculate the volume of the block. The volume of a rectangular block can be found by multiplying its length, width, and height.
Volume = length x width x height = 9.50 mm x 10.25 mm x 50.80 mm
Next, we'll convert the volume to cubic centimeters (cm^3) because the mass is given in grams and density is typically expressed in grams per cubic centimeter.
To convert millimeters (mm) to centimeters (cm), we divide by 10 because 1 cm = 10 mm.
Volume = (9.50 mm x 10.25 mm x 50.80 mm) / (10 mm/cm)^3
Now, we can calculate the volume:
Volume = (97.375 mm^3) / (10 mm/cm)^3
Next, we'll convert the volume from mm^3 to cm^3:
Volume = 97.375 mm^3 / (10 mm/cm)^3 = 97.375 cm^3 / 1000
Volume ≈ 0.097375 cm^3
Now, we can calculate the density by dividing the mass by the volume:
Density = mass / volume = 38.7323 grams / 0.097375 cm^3
Density ≈ 397.818 grams/cm^3
Therefore, the density of the block is approximately 397.818 grams/cm^3.
To find the density of the block in grams/cm3, you need to divide its mass in grams by its volume in cm3.
First, let's calculate the volume of the block. The volume of a rectangular block can be found by multiplying its length, width, and height. In this case, the length is 9.50 mm (or 0.95 cm), the width is 10.25 mm (or 1.025 cm), and the height is 50.80 mm (or 5.08 cm).
Volume = length × width × height
Volume = 0.95 cm × 1.025 cm × 5.08 cm
Now, calculate the volume in cm3.
Volume = 4.9349 cm3 (rounded to four decimal places)
Next, divide the mass of the block, which is 38.7323 grams, by its volume in cm3.
Density = mass / volume
Density = 38.7323 g / 4.9349 cm3
Now, divide the mass by the volume to find the density.
Density = 7.8458 g/cm3 (rounded to four decimal places)
Therefore, the density of the block is approximately 7.8458 grams/cm3.