A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 7 : 6 : 9.
- 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 Z and A without spilling any water. As a result, Bottle Z had 1800 cm3 more water than Bottle A. Find the volume of water in Bottle Z. Give your answer in litres.
(a)
Length of the tank = 7 u
Breadth of the tank = 6 u
Height of the tank = 9 u
7 u = 14
1 u = 14 ÷ 7 = 2
Breadth of the tank
= 6 u
= 6 x 2
= 12 cm
Height of the tank
= 9 u
= 9 x 2
= 18 cm
Volume of water in the tank
= 14 x 12 x 18
= 3024 cm
3 (b)
Volume of water in Bottle Z
= (3024 + 1800) ÷ 2
= 4824 ÷ 2
= 2412 cm
3 2412 mℓ = 2.412 ℓ
Answer(s): (a) 3024 cm
3; (b) 2.412 ℓ