A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 7 : 4 : 11.
- Given that the height of the tank is 22 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles G and H without spilling any water. As a result, Bottle G had 1700 cm3 more water than Bottle H. Find the volume of water in Bottle G. Give your answer in litres.
(a)
Length of the tank = 7 u
Breadth of the tank = 4 u
Height of the tank = 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Length of the tank
= 7 u
= 7 x 2
= 14 cm
Breadth of the tank
= 4 u
= 4 x 2
= 8 cm
Volume of water in the tank
= 14 x 8 x 22
= 2464 cm
3 (b)
Volume of water in Bottle G
= (2464 + 1700) ÷ 2
= 4164 ÷ 2
= 2082 cm
3 2082 mℓ = 2.082 ℓ
Answer(s): (a) 2464 cm
3; (b) 2.082 ℓ