A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 9 : 4 : 13.
- Given that the height of the tank is 26 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles D and E without spilling any water. As a result, Bottle D had 1900 cm3 more water than Bottle E. Find the volume of water in Bottle D. Give your answer in litres.
(a)
Length of the tank = 9 u
Breadth of the tank = 4 u
Height of the tank = 13 u
13 u = 26
1 u = 26 ÷ 13 = 2
Length of the tank
= 9 u
= 9 x 2
= 18 cm
Breadth of the tank
= 4 u
= 4 x 2
= 8 cm
Volume of water in the tank
= 18 x 8 x 26
= 3744 cm
3 (b)
Volume of water in Bottle D
= (3744 + 1900) ÷ 2
= 5644 ÷ 2
= 2822 cm
3 2822 mℓ = 2.822 ℓ
Answer(s): (a) 3744 cm
3; (b) 2.822 ℓ