A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 9 : 6 : 14.
- Given that the height of the tank is 28 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 1200 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 = 6 u
Height of the tank = 14 u
14 u = 28
1 u = 28 ÷ 14 = 2
Length of the tank
= 9 u
= 9 x 2
= 18 cm
Breadth of the tank
= 6 u
= 6 x 2
= 12 cm
Volume of water in the tank
= 18 x 12 x 28
= 6048 cm
3 (b)
Volume of water in Bottle F
= (6048 + 1200) ÷ 2
= 7248 ÷ 2
= 3624 cm
3 3624 mℓ = 3.624 ℓ
Answer(s): (a) 6048 cm
3; (b) 3.624 ℓ