Question

Mensuration
a)
A cubical water tank is filled in 1296 seconds at the rate of 1 litre per 6 seconds.
(i) Calculate the internal volume and the length of side of the tank,
(ii) Calculate the total internal surface area of the tank.​

Answer 1

1296 seconds = 21.6minutes at 10 litres per minute = Total of 216 litres or 0.216 cubic metres of volume (*Water at 4.C)

A completely ‘Sealed equal cube’ with a total of 6 surfaces including the base and lid

The cube 6 equal sides all 0.6 square metres x 0.6 square metres = 0.36 square metres x 6 sides = (Note, 1.8 square metres if the water is not in full contact with a sealed lid)

Answer: = 2.16 square metres is the total of the surface area in full contact with water (including lid)

The Dimensions of the cube are height 0.6 metre x length of 0.6 metre x width of 0.6 metre = 0.216 cubic metres in volume = 216 litres of cold water at 4.C (*maximum density)