Question

32 You have two objects made of the same substance. Object 1 is a cube with a mass of 257.7 g. You measure the side of the cube using a ruler and find it to be 3.17 cm. Object 2 is a sphere with a mass of 128.9 g. You find the volume of the sphere using water displacement. The volume of the water in a graduated cylinder initially is 120.0 mL, and when the sphere is added the new volume is 135.8 mL.

Answer 1

The complete question requires that we verify the density of both objects.

The density of object 1 is; 8.1g/cm³ while the density of object 2 is; 8.16g/cm³

Density of substances

The density of a substance is given as;

Density = Mass/Volume

Therefore, for Object 1;

• Volume= l³ (for cubes)

Volume = (3.17)³ = 31.86cm³

Density (1) = 257.7/31.86 = 8.1 g/cm³

For Object 2;

• Volume = 135.8 - 120 = 15.8mL

• Volume = 15.8mL = 15.8 cm³

Density = 128.9/15.8

Density = 8.16g/cm³

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