A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 7 : 6 : 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 B and C without spilling any water. As a result, Bottle B had 1900 cm3 more water than Bottle C. Find the volume of water in Bottle B. Give your answer in litres.
(a)
Length of the tank = 7 u
Breadth of the tank = 6 u
Height of the tank = 15 u
7 u = 14
1 u = 14 ÷ 7 = 2
Breadth of the tank
= 6 u
= 6 x 2
= 12 cm
Height of the tank
= 15 u
= 15 x 2
= 30 cm
Volume of water in the tank
= 14 x 12 x 30
= 5040 cm
3 (b)
Volume of water in Bottle B
= (5040 + 1900) ÷ 2
= 6940 ÷ 2
= 3470 cm
3 3470 mℓ = 3.47 ℓ
Answer(s): (a) 5040 cm
3; (b) 3.47 ℓ