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A 35.0 mm x 75.0 mm piece of aluminum density 2.70 gcm3 is 0.80 mm thick What is the mass in grams of the metal?
Wiki User
∙ 9y ago
Since the density is quoted in g cm^(3), then you first convert the 'mm' to 'cm' by dividing by '10'
There 10 mm = 1 cm
Hence
35,0 mm = 3.5 cm
75 mm = 7.5 cm
0.80 mm = 0.08 cm
Multiply together to obtain the volume in 'cm^(3)
Hence
3.5 cm X 7.5 cm X 0.08 cm = 2.1cm^(3)
Now remember
Density = mass / volume
d = m(g) / v(cm^(3)
Algebraically rearrange
mass(g) = d X v
Hence mass = 2.7 g cm^(-3) X 2.1 cm^(3)
mass = 5.67 g
lenpollock
To find the volume of the aluminum piece, calculate: Volume = length x width x thickness = 35.0 mm x 75.0 mm x 0.80 mm = 2,100 mm³. Convert this volume to cm³ (since 1 cm³ = 1 mm³): 2,100 mm³ = 2.1 cm³. Finally, to find the mass, use the formula: Mass = Volume x Density = 2.1 cm³ x 2.70 g/cm³ = 5.67 grams.
Wiki User
∙ 14y agoTo do this, you need to know what density is. Mathematically, density is mass divided by volume or:
D = m/v
Now all we need to do is replace the density and mass variables to find the volume.
D = 2.70 g/cm3
m = 3.057 kg = 3057 g
2.70 = 3057/v
v = 1130 cm3
Wiki User
∙ 13y agoThe sheet has a volume of 1.35 cm3. So, multiplying it by the density will give you the weight.
45cm x 30cm x 0.0010cm = 1.35cm3
Density x Volume = Mass
2.7g/cm3 x 1.35cm3 = 3.645g
Thus, there is 3.645g of aluminum (assuming that it is a pure product).
Wiki User
∙ 9y agoA 35.0 mm x 75.0 mm piece of aluminum density 2.70 g/cm3 is 0.80 mm thick. The mass in grams of the metal is 5.67 gram or g.
Wiki User
∙ 14y ago45x30x0.001=1.35 cubic centimetres.
1.35x2.7=3.645 grams
Wiki User
∙ 12y agoThe answer is 4.05 g/cm3
Wiki User
∙ 14y ago(20.00g/2.70g)1/3
Wiki User
∙ 12y agono
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