A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 9 : 3 : 13.
- Given that the height of the tank is 26 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles M and N without spilling any water. As a result, Bottle M had 1100 cm3 more water than Bottle N. Find the volume of water in Bottle M. Give your answer in litres.
(a)
Length of the tank = 9 u
Breadth of the tank = 3 u
Height of the tank = 13 u
13 u = 26
1 u = 26 ÷ 13 = 2
Length of the tank
= 9 u
= 9 x 2
= 18 cm
Breadth of the tank
= 3 u
= 3 x 2
= 6 cm
Volume of water in the tank
= 18 x 6 x 26
= 2808 cm
3 (b)
Volume of water in Bottle M
= (2808 + 1100) ÷ 2
= 3908 ÷ 2
= 1954 cm
3 1954 mℓ = 1.954 ℓ
Answer(s): (a) 2808 cm
3; (b) 1.954 ℓ