A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 7 : 6 : 14.
- Given that the height of the tank is 28 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles X and Y without spilling any water. As a result, Bottle X had 1300 cm3 more water than Bottle Y. Find the volume of water in Bottle X. Give your answer in litres.
(a)
Length of the tank = 7 u
Breadth of the tank = 6 u
Height of the tank = 14 u
14 u = 28
1 u = 28 ÷ 14 = 2
Length of the tank
= 7 u
= 7 x 2
= 14 cm
Breadth of the tank
= 6 u
= 6 x 2
= 12 cm
Volume of water in the tank
= 14 x 12 x 28
= 4704 cm
3 (b)
Volume of water in Bottle X
= (4704 + 1300) ÷ 2
= 6004 ÷ 2
= 3002 cm
3 3002 mℓ = 3.002 ℓ
Answer(s): (a) 4704 cm
3; (b) 3.002 ℓ