A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 7 : 3 : 12.
- 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 1500 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 = 3 u
Height of the tank = 12 u
7 u = 14
1 u = 14 ÷ 7 = 2
Breadth of the tank
= 3 u
= 3 x 2
= 6 cm
Height of the tank
= 12 u
= 12 x 2
= 24 cm
Volume of water in the tank
= 14 x 6 x 24
= 2016 cm
3 (b)
Volume of water in Bottle L
= (2016 + 1500) ÷ 2
= 3516 ÷ 2
= 1758 cm
3 1758 mℓ = 1.758 ℓ
Answer(s): (a) 2016 cm
3; (b) 1.758 ℓ