A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 9 : 5 : 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 F and G without spilling any water. As a result, Bottle F had 1400 cm3 more water than Bottle G. Find the volume of water in Bottle F. Give your answer in litres.
(a)
Length of the tank = 9 u
Breadth of the tank = 5 u
Height of the tank = 15 u
9 u = 18
1 u = 18 ÷ 9 = 2
Breadth of the tank
= 5 u
= 5 x 2
= 10 cm
Height of the tank
= 15 u
= 15 x 2
= 30 cm
Volume of water in the tank
= 18 x 10 x 30
= 5400 cm
3 (b)
Volume of water in Bottle F
= (5400 + 1400) ÷ 2
= 6800 ÷ 2
= 3400 cm
3 3400 mℓ = 3.4 ℓ
Answer(s): (a) 5400 cm
3; (b) 3.4 ℓ