A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 9 : 3 : 10.
- Given that the length of the tank is 27 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 1800 cm3 more water than Bottle R. Find the volume of water in Bottle Q. Give your answer in litres.
(a)
Length of the tank = 9 u
Breadth of the tank = 3 u
Height of the tank = 10 u
9 u = 27
1 u = 27 ÷ 9 = 3
Breadth of the tank
= 3 u
= 3 x 3
= 9 cm
Height of the tank
= 10 u
= 10 x 3
= 30 cm
Volume of water in the tank
= 27 x 9 x 30
= 7290 cm
3 (b)
Volume of water in Bottle Q
= (7290 + 1800) ÷ 2
= 9090 ÷ 2
= 4545 cm
3 4545 mℓ = 4.545 ℓ
Answer(s): (a) 7290 cm
3; (b) 4.545 ℓ