A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 5 : 9.
- Given that the height 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 W and X without spilling any water. As a result, Bottle W had 1400 cm3 more water than Bottle X. Find the volume of water in Bottle W. Give your answer in litres.
(a)
Length of the tank = 8 u
Breadth of the tank = 5 u
Height of the tank = 9 u
9 u = 18
1 u = 18 ÷ 9 = 2
Length of the tank
= 8 u
= 8 x 2
= 16 cm
Breadth of the tank
= 5 u
= 5 x 2
= 10 cm
Volume of water in the tank
= 16 x 10 x 18
= 2880 cm
3 (b)
Volume of water in Bottle W
= (2880 + 1400) ÷ 2
= 4280 ÷ 2
= 2140 cm
3 2140 mℓ = 2.14 ℓ
Answer(s): (a) 2880 cm
3; (b) 2.14 ℓ