A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 7 : 3 : 10.
- Given that the length of the tank is 14 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 1600 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 = 3 u
Height of the tank = 10 u
7 u = 14
1 u = 14 ÷ 7 = 2
Breadth of the tank
= 3 u
= 3 x 2
= 6 cm
Height of the tank
= 10 u
= 10 x 2
= 20 cm
Volume of water in the tank
= 14 x 6 x 20
= 1680 cm
3 (b)
Volume of water in Bottle X
= (1680 + 1600) ÷ 2
= 3280 ÷ 2
= 1640 cm
3 1640 mℓ = 1.64 ℓ
Answer(s): (a) 1680 cm
3; (b) 1.64 ℓ