A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 6 : 10.
- Given that the height 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 H and J without spilling any water. As a result, Bottle H had 1600 cm3 more water than Bottle J. Find the volume of water in Bottle H. Give your answer in litres.
(a)
Length of the tank = 8 u
Breadth of the tank = 6 u
Height of the tank = 10 u
10 u = 20
1 u = 20 ÷ 10 = 2
Length of the tank
= 8 u
= 8 x 2
= 16 cm
Breadth of the tank
= 6 u
= 6 x 2
= 12 cm
Volume of water in the tank
= 16 x 12 x 20
= 3840 cm
3 (b)
Volume of water in Bottle H
= (3840 + 1600) ÷ 2
= 5440 ÷ 2
= 2720 cm
3 2720 mℓ = 2.72 ℓ
Answer(s): (a) 3840 cm
3; (b) 2.72 ℓ