A square based brass plate is 2 mm high and a mass of 1.05kg.the density of the brass is 8.4g/cm. Calculate the length of the plate in cm
Di you mean 8.4 g/cm ³ ?
If so, you'd use mass / density = volume:
1050 g / 8.4 g/cm ³ = 125 cm ³
Then divide out the 2 mm height to get the area of the square side or the plate:
125 cm ³ / 0.2 cm = 62.5 cm ²
Finally square root that to get the side length of the square:
√ 62.5 cm ² = ? cm
D = M/V = M/L*W*h.
D = 1050/LW*0.2 = 8.4
5,250/LW = 8.4,
LW = 625 cm^2.
L = W = sqrt(625) = 25 cm.
62
It is great
To calculate the length of the brass plate in centimeters, we need to know the volume of the plate.
The formula for volume is:
Volume = Length x Width x Height
In this case, since it is a square-based plate, the length and width will be the same. Let's assume the length of the plate is L cm.
The given information states that the plate is 2 mm high, which is equivalent to 0.2 cm. The mass of the plate is given as 1.05 kg.
To find the volume, we need to know the density. The density of brass is given as 8.4 g/cm³. However, we need to convert the units so that they are consistent with the other quantities given.
1 kg = 1000 g, so the mass of the plate is 1.05 kg = 1050 g.
Now we can rearrange the formula for density to solve for volume:
Density = Mass / Volume
Volume = Mass / Density
Since the mass is given as 1050 g and the density is given as 8.4 g/cm³, we can substitute these values into the volume formula:
Volume = 1050 g / 8.4 g/cm³ = 125 cm³
Now we can finally calculate the length of the plate:
Volume = Length x Width x Height
125 cm³ = L cm x L cm x 0.2 cm (since the length and width are the same)
125 cm³ = 0.2 L² cm²
Divide both sides of the equation by 0.2 cm:
125 cm³ / 0.2 cm = L² cm²
625 cm = L² cm²
Now, take the square root of both sides to solve for L:
L = √625 cm = 25 cm
Therefore, the length of the square-based brass plate is 25 cm.