A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 10 : 7 : 11.
- Given that the length 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 1800 cm3 more water than Bottle G. Find the volume of water in Bottle F. Give your answer in litres.
(a)
Length of the tank = 10 u
Breadth of the tank = 7 u
Height of the tank = 11 u
10 u = 20
1 u = 20 ÷ 10 = 2
Breadth of the tank
= 7 u
= 7 x 2
= 14 cm
Height of the tank
= 11 u
= 11 x 2
= 22 cm
Volume of water in the tank
= 20 x 14 x 22
= 6160 cm
3 (b)
Volume of water in Bottle F
= (6160 + 1800) ÷ 2
= 7960 ÷ 2
= 3980 cm
3 3980 mℓ = 3.98 ℓ
Answer(s): (a) 6160 cm
3; (b) 3.98 ℓ