A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 3 : 15.
- Given that the height of the tank is 30 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 1300 cm3 more water than Bottle W. Find the volume of water in Bottle V. Give your answer in litres.
(a)
Length of the tank = 8 u
Breadth of the tank = 3 u
Height of the tank = 15 u
15 u = 30
1 u = 30 ÷ 15 = 2
Length of the tank
= 8 u
= 8 x 2
= 16 cm
Breadth of the tank
= 3 u
= 3 x 2
= 6 cm
Volume of water in the tank
= 16 x 6 x 30
= 2880 cm
3 (b)
Volume of water in Bottle V
= (2880 + 1300) ÷ 2
= 4180 ÷ 2
= 2090 cm
3 2090 mℓ = 2.09 ℓ
Answer(s): (a) 2880 cm
3; (b) 2.09 ℓ