Question

A rectangular block of metal has edges of 10.00cm, 6.00cm, and 2.00cm. If the mass of the block is 3701g, find the density of the metal.

Answer 1

The metal given here is in the shape of a rectangular block. So the density of the metal will be mass of the metal by volume of the metal block.

d = Density of the given substance

m = Mass of the given substance

V = Volume of the given substance

The volume of the metal block will be equal to the volume of its shape that is cuboid.

Volume of cuboid = length × breath × height

V = l×b×h

V = 10 × 6 × 2 = 120 cm³.

Now density of metal, d = m /v

Here, m = 3701g and v = 120 cm³

Substituting the values of m and v in the equation for density, the equation becomes

d = 30.481 g/cm³