A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 9 : 7 : 15.
- Given that the height of the tank is 30 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 1800 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 = 7 u
Height of the tank = 15 u
15 u = 30
1 u = 30 ÷ 15 = 2
Length of the tank
= 9 u
= 9 x 2
= 18 cm
Breadth of the tank
= 7 u
= 7 x 2
= 14 cm
Volume of water in the tank
= 18 x 14 x 30
= 7560 cm
3 (b)
Volume of water in Bottle P
= (7560 + 1800) ÷ 2
= 9360 ÷ 2
= 4680 cm
3 4680 mℓ = 4.68 ℓ
Answer(s): (a) 7560 cm
3; (b) 4.68 ℓ