A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 7 : 3 : 14.
- Given that the length of the tank is 21 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles V and W without spilling any water. As a result, Bottle V had 1100 cm3 more water than Bottle W. Find the volume of water in Bottle V. Give your answer in litres.
(a)
Length of the tank = 7 u
Breadth of the tank = 3 u
Height of the tank = 14 u
7 u = 21
1 u = 21 ÷ 7 = 3
Breadth of the tank
= 3 u
= 3 x 3
= 9 cm
Height of the tank
= 14 u
= 14 x 3
= 42 cm
Volume of water in the tank
= 21 x 9 x 42
= 7938 cm
3 (b)
Volume of water in Bottle V
= (7938 + 1100) ÷ 2
= 9038 ÷ 2
= 4519 cm
3 4519 mℓ = 4.519 ℓ
Answer(s): (a) 7938 cm
3; (b) 4.519 ℓ