A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 9 : 6 : 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 T and U without spilling any water. As a result, Bottle T had 1500 cm3 more water than Bottle U. Find the volume of water in Bottle T. Give your answer in litres.
(a)
Length of the tank = 9 u
Breadth of the tank = 6 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
= 6 u
= 6 x 2
= 12 cm
Volume of water in the tank
= 18 x 12 x 26
= 5616 cm
3 (b)
Volume of water in Bottle T
= (5616 + 1500) ÷ 2
= 7116 ÷ 2
= 3558 cm
3 3558 mℓ = 3.558 ℓ
Answer(s): (a) 5616 cm
3; (b) 3.558 ℓ