A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 4 : 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 1500 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 = 4 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
= 4 u
= 4 x 2
= 8 cm
Volume of water in the tank
= 16 x 8 x 18
= 2304 cm
3 (b)
Volume of water in Bottle W
= (2304 + 1500) ÷ 2
= 3804 ÷ 2
= 1902 cm
3 1902 mℓ = 1.902 ℓ
Answer(s): (a) 2304 cm
3; (b) 1.902 ℓ