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 P and Q without spilling any water. As a result, Bottle P had 1500 cm3 more water than Bottle Q. Find the volume of water in Bottle P. 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 P
= (6480 + 1500) ÷ 2
= 7980 ÷ 2
= 3990 cm
3 3990 mℓ = 3.99 ℓ
Answer(s): (a) 6480 cm
3; (b) 3.99 ℓ