A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 7 : 3 : 11.
- 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 1500 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 = 3 u
Height of the tank = 11 u
7 u = 14
1 u = 14 ÷ 7 = 2
Breadth of the tank
= 3 u
= 3 x 2
= 6 cm
Height of the tank
= 11 u
= 11 x 2
= 22 cm
Volume of water in the tank
= 14 x 6 x 22
= 1848 cm
3 (b)
Volume of water in Bottle T
= (1848 + 1500) ÷ 2
= 3348 ÷ 2
= 1674 cm
3 1674 mℓ = 1.674 ℓ
Answer(s): (a) 1848 cm
3; (b) 1.674 ℓ