A rectangular container measuring 1m by 2m by 4m is covered with a layer of lead shielding of uniform thicknes

Question

Model the volume of the shielding as a function of its thickness. Find the thickness of the shielding, to the nearest centimetre, if the volume of the shielding is 3m^3.

Answer 1

Surface Area = 2 (4 + 2 + 8) m ² = 28 m ²
Let thickness of lead = t m
3 = 28 t
t = 3 / 28 m
t = 300 / 28 cm
t = 10.7 cm (to 1 decimal place)