A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 7 : 5 : 14.
- 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 L and M without spilling any water. As a result, Bottle L had 1800 cm3 more water than Bottle M. Find the volume of water in Bottle L. Give your answer in litres.
(a)
Length of the tank = 7 u
Breadth of the tank = 5 u
Height of the tank = 14 u
7 u = 14
1 u = 14 ÷ 7 = 2
Breadth of the tank
= 5 u
= 5 x 2
= 10 cm
Height of the tank
= 14 u
= 14 x 2
= 28 cm
Volume of water in the tank
= 14 x 10 x 28
= 3920 cm
3 (b)
Volume of water in Bottle L
= (3920 + 1800) ÷ 2
= 5720 ÷ 2
= 2860 cm
3 2860 mℓ = 2.86 ℓ
Answer(s): (a) 3920 cm
3; (b) 2.86 ℓ