A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 10 : 6 : 12.
- Given that the length of the tank is 20 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles P and Q without spilling any water. As a result, Bottle P had 1300 cm3 more water than Bottle Q. Find the volume of water in Bottle P. Give your answer in litres.
(a)
Length of the tank = 10 u
Breadth of the tank = 6 u
Height of the tank = 12 u
10 u = 20
1 u = 20 ÷ 10 = 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
= 20 x 12 x 24
= 5760 cm
3 (b)
Volume of water in Bottle P
= (5760 + 1300) ÷ 2
= 7060 ÷ 2
= 3530 cm
3 3530 mℓ = 3.53 ℓ
Answer(s): (a) 5760 cm
3; (b) 3.53 ℓ