A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 6 : 14.
- Given that the length of the tank is 16 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles N and P without spilling any water. As a result, Bottle N had 1900 cm3 more water than Bottle P. Find the volume of water in Bottle N. Give your answer in litres.
(a)
Length of the tank = 8 u
Breadth of the tank = 6 u
Height of the tank = 14 u
8 u = 16
1 u = 16 ÷ 8 = 2
Breadth of the tank
= 6 u
= 6 x 2
= 12 cm
Height of the tank
= 14 u
= 14 x 2
= 28 cm
Volume of water in the tank
= 16 x 12 x 28
= 5376 cm
3 (b)
Volume of water in Bottle N
= (5376 + 1900) ÷ 2
= 7276 ÷ 2
= 3638 cm
3 3638 mℓ = 3.638 ℓ
Answer(s): (a) 5376 cm
3; (b) 3.638 ℓ