A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 7 : 5 : 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 S and T without spilling any water. As a result, Bottle S had 1200 cm3 more water than Bottle T. Find the volume of water in Bottle S. Give your answer in litres.
(a)
Length of the tank = 7 u
Breadth of the tank = 5 u
Height of the tank = 13 u
13 u = 26
1 u = 26 ÷ 13 = 2
Length of the tank
= 7 u
= 7 x 2
= 14 cm
Breadth of the tank
= 5 u
= 5 x 2
= 10 cm
Volume of water in the tank
= 14 x 10 x 26
= 3640 cm
3 (b)
Volume of water in Bottle S
= (3640 + 1200) ÷ 2
= 4840 ÷ 2
= 2420 cm
3 2420 mℓ = 2.42 ℓ
Answer(s): (a) 3640 cm
3; (b) 2.42 ℓ