A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 9 : 3 : 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 E and F without spilling any water. As a result, Bottle E had 1600 cm3 more water than Bottle F. Find the volume of water in Bottle E. Give your answer in litres.
(a)
Length of the tank = 9 u
Breadth of the tank = 3 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
= 3 u
= 3 x 2
= 6 cm
Volume of water in the tank
= 18 x 6 x 26
= 2808 cm
3 (b)
Volume of water in Bottle E
= (2808 + 1600) ÷ 2
= 4408 ÷ 2
= 2204 cm
3 2204 mℓ = 2.204 ℓ
Answer(s): (a) 2808 cm
3; (b) 2.204 ℓ