A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 10 : 7 : 9.
- Given that the length of the tank is 20 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 1600 cm3 more water than Bottle W. Find the volume of water in Bottle V. Give your answer in litres.
(a)
Length of the tank = 10 u
Breadth of the tank = 7 u
Height of the tank = 9 u
10 u = 20
1 u = 20 ÷ 10 = 2
Breadth of the tank
= 7 u
= 7 x 2
= 14 cm
Height of the tank
= 9 u
= 9 x 2
= 18 cm
Volume of water in the tank
= 20 x 14 x 18
= 5040 cm
3 (b)
Volume of water in Bottle V
= (5040 + 1600) ÷ 2
= 6640 ÷ 2
= 3320 cm
3 3320 mℓ = 3.32 ℓ
Answer(s): (a) 5040 cm
3; (b) 3.32 ℓ