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?

Answer 1

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

Answer 2

To 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

Answer 3

The 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).

Answer 4

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.

Answer 5

A 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.

Answer 6

45x30x0.001=1.35 cubic centimetres.

1.35x2.7=3.645 grams

Answer 7

The answer is 4.05 g/cm3

Answer 8

(20.00g/2.70g)1/3

Answer 9

no