A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 9 : 6 : 15.
- Given that the length of the tank is 18 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles N and P without spilling any water. As a result, Bottle N had 1300 cm3 more water than Bottle P. Find the volume of water in Bottle N. Give your answer in litres.
(a)
Length of the tank = 9 u
Breadth of the tank = 6 u
Height of the tank = 15 u
9 u = 18
1 u = 18 ÷ 9 = 2
Breadth of the tank
= 6 u
= 6 x 2
= 12 cm
Height of the tank
= 15 u
= 15 x 2
= 30 cm
Volume of water in the tank
= 18 x 12 x 30
= 6480 cm
3 (b)
Volume of water in Bottle N
= (6480 + 1300) ÷ 2
= 7780 ÷ 2
= 3890 cm
3 3890 mℓ = 3.89 ℓ
Answer(s): (a) 6480 cm
3; (b) 3.89 ℓ