A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 7 : 5 : 12.
- Given that the length of the tank is 14 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 1800 cm3 more water than Bottle U. Find the volume of water in Bottle T. Give your answer in litres.
(a)
Length of the tank = 7 u
Breadth of the tank = 5 u
Height of the tank = 12 u
7 u = 14
1 u = 14 ÷ 7 = 2
Breadth of the tank
= 5 u
= 5 x 2
= 10 cm
Height of the tank
= 12 u
= 12 x 2
= 24 cm
Volume of water in the tank
= 14 x 10 x 24
= 3360 cm
3 (b)
Volume of water in Bottle T
= (3360 + 1800) ÷ 2
= 5160 ÷ 2
= 2580 cm
3 2580 mℓ = 2.58 ℓ
Answer(s): (a) 3360 cm
3; (b) 2.58 ℓ