A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 9 : 5 : 11.
- 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 B and C without spilling any water. As a result, Bottle B had 1200 cm3 more water than Bottle C. Find the volume of water in Bottle B. Give your answer in litres.
(a)
Length of the tank = 9 u
Breadth of the tank = 5 u
Height of the tank = 11 u
9 u = 18
1 u = 18 ÷ 9 = 2
Breadth of the tank
= 5 u
= 5 x 2
= 10 cm
Height of the tank
= 11 u
= 11 x 2
= 22 cm
Volume of water in the tank
= 18 x 10 x 22
= 3960 cm
3 (b)
Volume of water in Bottle B
= (3960 + 1200) ÷ 2
= 5160 ÷ 2
= 2580 cm
3 2580 mℓ = 2.58 ℓ
Answer(s): (a) 3960 cm
3; (b) 2.58 ℓ