A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 9 : 8 : 13.
- Given that the length of the tank is 18 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles A and B without spilling any water. As a result, Bottle A had 1100 cm3 more water than Bottle B. Find the volume of water in Bottle A. Give your answer in litres.
(a)
Length of the tank = 9 u
Breadth of the tank = 8 u
Height of the tank = 13 u
9 u = 18
1 u = 18 ÷ 9 = 2
Breadth of the tank
= 8 u
= 8 x 2
= 16 cm
Height of the tank
= 13 u
= 13 x 2
= 26 cm
Volume of water in the tank
= 18 x 16 x 26
= 7488 cm
3 (b)
Volume of water in Bottle A
= (7488 + 1100) ÷ 2
= 8588 ÷ 2
= 4294 cm
3 4294 mℓ = 4.294 ℓ
Answer(s): (a) 7488 cm
3; (b) 4.294 ℓ