A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 9 : 3 : 10.
- Given that the height of the tank is 20 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles W and X without spilling any water. As a result, Bottle W had 1900 cm3 more water than Bottle X. Find the volume of water in Bottle W. Give your answer in litres.
(a)
Length of the tank = 9 u
Breadth of the tank = 3 u
Height of the tank = 10 u
10 u = 20
1 u = 20 ÷ 10 = 2
Length of the tank
= 9 u
= 9 x 2
= 18 cm
Breadth of the tank
= 3 u
= 3 x 2
= 6 cm
Volume of water in the tank
= 18 x 6 x 20
= 2160 cm
3 (b)
Volume of water in Bottle W
= (2160 + 1900) ÷ 2
= 4060 ÷ 2
= 2030 cm
3 2030 mℓ = 2.03 ℓ
Answer(s): (a) 2160 cm
3; (b) 2.03 ℓ