A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 10 : 3 : 9.
- Given that the length of the tank is 30 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles Q and R without spilling any water. As a result, Bottle Q had 1300 cm3 more water than Bottle R. Find the volume of water in Bottle Q. Give your answer in litres.
(a)
Length of the tank = 10 u
Breadth of the tank = 3 u
Height of the tank = 9 u
10 u = 30
1 u = 30 ÷ 10 = 3
Breadth of the tank
= 3 u
= 3 x 3
= 9 cm
Height of the tank
= 9 u
= 9 x 3
= 27 cm
Volume of water in the tank
= 30 x 9 x 27
= 7290 cm
3 (b)
Volume of water in Bottle Q
= (7290 + 1300) ÷ 2
= 8590 ÷ 2
= 4295 cm
3 4295 mℓ = 4.295 ℓ
Answer(s): (a) 7290 cm
3; (b) 4.295 ℓ