A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 3 : 9.
- Given that the height of the tank is 27 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles S and T without spilling any water. As a result, Bottle S had 1600 cm3 more water than Bottle T. Find the volume of water in Bottle S. Give your answer in litres.
(a)
Length of the tank = 8 u
Breadth of the tank = 3 u
Height of the tank = 9 u
9 u = 27
1 u = 27 ÷ 9 = 3
Length of the tank
= 8 u
= 8 x 3
= 24 cm
Breadth of the tank
= 3 u
= 3 x 3
= 9 cm
Volume of water in the tank
= 24 x 9 x 27
= 5832 cm
3 (b)
Volume of water in Bottle S
= (5832 + 1600) ÷ 2
= 7432 ÷ 2
= 3716 cm
3 3716 mℓ = 3.716 ℓ
Answer(s): (a) 5832 cm
3; (b) 3.716 ℓ