A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 9 : 5 : 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 T and U without spilling any water. As a result, Bottle T had 1300 cm3 more water than Bottle U. Find the volume of water in Bottle T. Give your answer in litres.
(a)
Length of the tank = 9 u
Breadth of the tank = 5 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
= 5 u
= 5 x 2
= 10 cm
Volume of water in the tank
= 18 x 10 x 20
= 3600 cm
3 (b)
Volume of water in Bottle T
= (3600 + 1300) ÷ 2
= 4900 ÷ 2
= 2450 cm
3 2450 mℓ = 2.45 ℓ
Answer(s): (a) 3600 cm
3; (b) 2.45 ℓ