# 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.

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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 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