A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 7 : 6 : 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 S and T without spilling any water. As a result, Bottle S had 1400 cm3 more water than Bottle T. Find the volume of water in Bottle S. Give your answer in litres.
(a)
Length of the tank = 7 u
Breadth of the tank = 6 u
Height of the tank = 12 u
7 u = 14
1 u = 14 ÷ 7 = 2
Breadth of the tank
= 6 u
= 6 x 2
= 12 cm
Height of the tank
= 12 u
= 12 x 2
= 24 cm
Volume of water in the tank
= 14 x 12 x 24
= 4032 cm
3 (b)
Volume of water in Bottle S
= (4032 + 1400) ÷ 2
= 5432 ÷ 2
= 2716 cm
3 2716 mℓ = 2.716 ℓ
Answer(s): (a) 4032 cm
3; (b) 2.716 ℓ