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A rectangular sheet of metal which measures 120cm by 0.8m is 1.5mm thick and is made of material whose density is 2.2 g/cm3. From each of the four corners of the rectangle, a square of side 10cm is cut off and the remaining part folded to form an open cuboid.

  1. calculate
    1. the capacity of the cuboid in cm3 to the nearest whole number 
    2. the mass of the empty cuboid in kg to the nearest whole number 
  2. the cuboid is filled with a liquid whose density is 0.75g/cm3. Calculate the mass in kg of the cuboid when full of the liquid 
  3. calculate the mass of metal lost in kg

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rectangular sheet of metal

  1.  
    1. 99.7 × 59.7 × 9.85   
      =58628cm              
    2. Outer volume = 100 × 60 × 10
                                    =  60,000
      Inner volume         =−58,628         
      Volume of material    1372cm3     
      Mass = 1372 × 2.2  =3kg             
                      1000
  2. Mass of liquid
    =0.75 × 58628 = 43.971kg  
             1000
    Total mass = 46.971kg         
  3. Volume = 4 × 10 × 10 × 0.15    
    =60cm3
    Mass = 60 × 2.2 =132g             
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