A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 9 : 8 : 11.
- Given that the length of the tank is 18 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles Y and Z without spilling any water. As a result, Bottle Y had 1700 cm3 more water than Bottle Z. Find the volume of water in Bottle Y. Give your answer in litres.
(a)
Length of the tank = 9 u
Breadth of the tank = 8 u
Height of the tank = 11 u
9 u = 18
1 u = 18 ÷ 9 = 2
Breadth of the tank
= 8 u
= 8 x 2
= 16 cm
Height of the tank
= 11 u
= 11 x 2
= 22 cm
Volume of water in the tank
= 18 x 16 x 22
= 6336 cm
3 (b)
Volume of water in Bottle Y
= (6336 + 1700) ÷ 2
= 8036 ÷ 2
= 4018 cm
3 4018 mℓ = 4.018 ℓ
Answer(s): (a) 6336 cm
3; (b) 4.018 ℓ