A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 10 : 5 : 14.
- Given that the height of the tank is 28 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles H and J without spilling any water. As a result, Bottle H had 1200 cm3 more water than Bottle J. Find the volume of water in Bottle H. Give your answer in litres.
(a)
Length of the tank = 10 u
Breadth of the tank = 5 u
Height of the tank = 14 u
14 u = 28
1 u = 28 ÷ 14 = 2
Length of the tank
= 10 u
= 10 x 2
= 20 cm
Breadth of the tank
= 5 u
= 5 x 2
= 10 cm
Volume of water in the tank
= 20 x 10 x 28
= 5600 cm
3 (b)
Volume of water in Bottle H
= (5600 + 1200) ÷ 2
= 6800 ÷ 2
= 3400 cm
3 3400 mℓ = 3.4 ℓ
Answer(s): (a) 5600 cm
3; (b) 3.4 ℓ