A piece of copper 12 cm long, 8.5 cm wide, and .50 cm thick has a mass of 457 grams. What is its density?
D = m/v
D = 457 g / 12x8.5x.50
D = 457 / 51 = 8.96 g/cm^3
Is this correct?
That looks right to me.
by the way iron is also about 8 times as dense as water (1 g/cc or 1000 kg/m^3) and aluminium is less and concrete is about half. That gives you a bit of a check.
Yes, your calculation is correct. The density of the piece of copper is 8.96 g/cm^3.
Yes, the calculation and answer you provided are correct!
To find the density of an object, you need to divide its mass by its volume. The formula for density is:
D = m/v
In this case, the given mass is 457 grams. To find the volume, we need to multiply the length, width, and thickness of the copper piece. The dimensions are given as:
Length = 12 cm
Width = 8.5 cm
Thickness = 0.50 cm
So the volume (v) can be calculated as:
v = length x width x thickness
v = 12 cm x 8.5 cm x 0.50 cm
Plug in the values into the density formula:
D = 457 g / (12 cm x 8.5 cm x 0.50 cm)
Now perform the calculation:
D = 457 g / 51 cm^3 ≈ 8.96 g/cm^3
Therefore, the density of the copper piece is approximately 8.96 g/cm^3.