A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 9 : 7 : 14.
- Given that the length of the tank is 18 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles M and N without spilling any water. As a result, Bottle M had 1600 cm3 more water than Bottle N. Find the volume of water in Bottle M. Give your answer in litres.
(a)
Length of the tank = 9 u
Breadth of the tank = 7 u
Height of the tank = 14 u
9 u = 18
1 u = 18 ÷ 9 = 2
Breadth of the tank
= 7 u
= 7 x 2
= 14 cm
Height of the tank
= 14 u
= 14 x 2
= 28 cm
Volume of water in the tank
= 18 x 14 x 28
= 7056 cm
3 (b)
Volume of water in Bottle M
= (7056 + 1600) ÷ 2
= 8656 ÷ 2
= 4328 cm
3 4328 mℓ = 4.328 ℓ
Answer(s): (a) 7056 cm
3; (b) 4.328 ℓ