A rectangular block of wood is 11.3 cm long, 7.2 cm wide, and 10.4 cm deep.  It has a mass of 825 g.

    a.  Find the area of the smallest face.
 
 
 
 

    b.  Find the volume of the block.
 
 
 
 
 

    c.  Find its density.
 
 
 
 

What is the mass of a 50 cm³ quantity of water?
 
 
 
 
 
 

What is the density of a 200-g mass whose volume is 300 cm³?
 
 
 
 
 
 

If the density of sea water is 1.04 g/cm^{3 ,} what is the mass of 1000 (1 L) of sea water?
 
 
 
 
 
 

If a 540 gram mass has a density of 2.7 g/cm³ , what is its volume?
 
 
 
 
 
 
 

(problems from Prentice-Hall 2000)
 
 

Answers

1.   (a)  area = width and height = 7.2 cm  X 10.4 = 74.9 cm²

      (b)  volume = (l x w x h)  area x length = 74.9 cm²   X   11.3 cm = 846.4 cm³

      (c)  Density = mass/volume = 825g/846.4 cm³ = 1.0 g/cm³

^{2.  Density of water = 1.0 gram/mL
    Mass = Density X volume =  1.0 g/mL X 50} cm³  = 50 grams

3.  Density = mass/volume = 200g/300 cm³ = ^0.7  g/cm³

4.  ^{Mass = Density X volume =  1.04 g/}cm^{3 X 1000} cm³  = 1040 grams

5.  V = mass/density = 540 grams / 2.7 g/cm3 = 200 cm³