A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 7 : 3 : 15.
- Given that the length of the tank is 14 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 1300 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 = 3 u
Height of the tank = 15 u
7 u = 14
1 u = 14 ÷ 7 = 2
Breadth of the tank
= 3 u
= 3 x 2
= 6 cm
Height of the tank
= 15 u
= 15 x 2
= 30 cm
Volume of water in the tank
= 14 x 6 x 30
= 2520 cm
3 (b)
Volume of water in Bottle S
= (2520 + 1300) ÷ 2
= 3820 ÷ 2
= 1910 cm
3 1910 mℓ = 1.91 ℓ
Answer(s): (a) 2520 cm
3; (b) 1.91 ℓ