1. An unknown, rectangular substance measures 3.60 cm high, 4.21 cm long, and 1.17 cm wide. If the mass is 21.3 g, what is this substance’s density (in grams per milliliter)?

The density of the unknown substance has been 1.20 g/ml.

The unknown substance has been of rectangle shape. The volume of the rectangular unknown substance can be given by:

Volume = Length × Width × Height

The given length = 2.21 cm

Width = 1.17 cm

Height = 3.60 cm

Substituting the values for volume:

Volume of unknown sample = 4.21 cm × 1.17 cm × 3.60 cm

Volume of the unknown substance = 17.732

1 = 1 ml

7.732 = 17.732 ml.

The volume of the unknown substance has been 17.732 ml.

Density can be expressed as the mass per unit volume. The expression will be:

Density =

The mass of the unknown substance = 21.3 g.

The volume of the unknown substance was calculated = 17.732 ml.

The density can be given as;

Density of the unknown substance =

The density of the unknown substance = 1.20 g/ml.

The density of the unknown substance has been 1.20 g/ml.

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1.20g/mL

Explanation:

Step 1:

Data obtained from the question. This include the following:

Height of substance = 3.60 cm

Length of substance = 4.21 cm

Width of substance = 1.17 cm

Mass of substance = 21.3 g

Density of substance =...?

Step 2:

Determination of the volume of the substance.

The volume of the substance can be obtained as follow:

Volume = length x width x height

Volume = 4.21 x 1.17 x 3.60

Volume = 17.73cm³

Recall:

1cm³ = 1mL

Therefore, 17.73cm³ = 17.73mL

Therefore, the volume of the substance is 17.73mL.

Step 3:

Determination of the density of the substance.

The Density of a substance is simply defined as the mass per unit volume of the substance. Mathematically, it is represented as:

Density = Mass /volume

With the above formula, we can obtain the density of the substance as follow:

Mass of substance = 21.3 g

Volume of substance = 17.73mL

Density =..?

Density = Mass /volume

Density = 21.3/17.73

Density = 1.20g/mL

Therefore, the density of the substance is 1.20g/mL.