A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 7 : 6 : 13.
- 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 P and Q without spilling any water. As a result, Bottle P had 1900 cm3 more water than Bottle Q. Find the volume of water in Bottle P. Give your answer in litres.
(a)
Length of the tank = 7 u
Breadth of the tank = 6 u
Height of the tank = 13 u
7 u = 14
1 u = 14 ÷ 7 = 2
Breadth of the tank
= 6 u
= 6 x 2
= 12 cm
Height of the tank
= 13 u
= 13 x 2
= 26 cm
Volume of water in the tank
= 14 x 12 x 26
= 4368 cm
3 (b)
Volume of water in Bottle P
= (4368 + 1900) ÷ 2
= 6268 ÷ 2
= 3134 cm
3 3134 mℓ = 3.134 ℓ
Answer(s): (a) 4368 cm
3; (b) 3.134 ℓ