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 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 U and V without spilling any water. As a result, Bottle U had 1700 cm3 more water than Bottle V. Find the volume of water in Bottle U. Give your answer in litres.
(a)
Length of the tank = 9 u
Breadth of the tank = 3 u
Height of the tank = 13 u
9 u = 18
1 u = 18 ÷ 9 = 2
Breadth of the tank
= 3 u
= 3 x 2
= 6 cm
Height of the tank
= 13 u
= 13 x 2
= 26 cm
Volume of water in the tank
= 18 x 6 x 26
= 2808 cm
3 (b)
Volume of water in Bottle U
= (2808 + 1700) ÷ 2
= 4508 ÷ 2
= 2254 cm
3 2254 mℓ = 2.254 ℓ
Answer(s): (a) 2808 cm
3; (b) 2.254 ℓ