A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 9 : 3 : 12.
- 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 1900 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 = 3 u
Height of the tank = 12 u
9 u = 18
1 u = 18 ÷ 9 = 2
Breadth of the tank
= 3 u
= 3 x 2
= 6 cm
Height of the tank
= 12 u
= 12 x 2
= 24 cm
Volume of water in the tank
= 18 x 6 x 24
= 2592 cm
3 (b)
Volume of water in Bottle F
= (2592 + 1900) ÷ 2
= 4492 ÷ 2
= 2246 cm
3 2246 mℓ = 2.246 ℓ
Answer(s): (a) 2592 cm
3; (b) 2.246 ℓ