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 height of the tank is 20 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles F and G without spilling any water. As a result, Bottle F had 1100 cm3 more water than Bottle G. Find the volume of water in Bottle F. Give your answer in litres.
(a)
Length of the tank = 9 u
Breadth of the tank = 3 u
Height of the tank = 10 u
10 u = 20
1 u = 20 ÷ 10 = 2
Length of the tank
= 9 u
= 9 x 2
= 18 cm
Breadth of the tank
= 3 u
= 3 x 2
= 6 cm
Volume of water in the tank
= 18 x 6 x 20
= 2160 cm
3 (b)
Volume of water in Bottle F
= (2160 + 1100) ÷ 2
= 3260 ÷ 2
= 1630 cm
3 1630 mℓ = 1.63 ℓ
Answer(s): (a) 2160 cm
3; (b) 1.63 ℓ