A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 9 : 4 : 10.
- 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 V and W without spilling any water. As a result, Bottle V had 1600 cm3 more water than Bottle W. Find the volume of water in Bottle V. Give your answer in litres.
(a)
Length of the tank = 9 u
Breadth of the tank = 4 u
Height of the tank = 10 u
9 u = 18
1 u = 18 ÷ 9 = 2
Breadth of the tank
= 4 u
= 4 x 2
= 8 cm
Height of the tank
= 10 u
= 10 x 2
= 20 cm
Volume of water in the tank
= 18 x 8 x 20
= 2880 cm
3 (b)
Volume of water in Bottle V
= (2880 + 1600) ÷ 2
= 4480 ÷ 2
= 2240 cm
3 2240 mℓ = 2.24 ℓ
Answer(s): (a) 2880 cm
3; (b) 2.24 ℓ