Question

2.A solid block with a length of 6.0 cm, a width of 3.0 cm, and a height of 3.0 cm has a mass of 146 g. What is the block’s density? Show all work.
3.To determine the density of an irregularly shaped object, a student immersed the object in 21.2 mL of water in a graduated cylinder causing the level of the water to rise to 27.8 mL. If the object has a mass of 22.4 grams, what is the density of the object?

Answer 1

1) Answer is: density of block is 2.70 g/cm³.

V(block) = 6.0 cm · 3.0 cm  3.0 cm.

V(block) = 54 cm³; volume of solid block.

m(block) = 146 g; mass of solid block.

d(block) = m(block) ÷ V(block).

d(block) = 146 g ÷ 54 cm³.

d(block) = 2.70 g/cm³ = 2.70 g/mL.

2) V(object) = 27.8 mL - 21.2 mL.

V(object) = 6.6 mL; volume of the object.

d(object) =22.4 g ÷ 6.6 mL.

d(object) = 3.39 g/mL.

Answer 2

2: Volume V = a*b*c = 6.0*3.0*3.0 = 54.0 cm^3                                                   density ρ = mass/volume = 146/54 = 2.70 g/cm^3
3: Volume = (27.8 -21.2) cm^3
mass = 22.4 g
density = 22.4/(27.8-21.2) g/cm^3