A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 7 : 4 : 14.
- Given that the height of the tank is 28 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles D and E without spilling any water. As a result, Bottle D had 1900 cm3 more water than Bottle E. Find the volume of water in Bottle D. Give your answer in litres.
(a)
Length of the tank = 7 u
Breadth of the tank = 4 u
Height of the tank = 14 u
14 u = 28
1 u = 28 ÷ 14 = 2
Length of the tank
= 7 u
= 7 x 2
= 14 cm
Breadth of the tank
= 4 u
= 4 x 2
= 8 cm
Volume of water in the tank
= 14 x 8 x 28
= 3136 cm
3 (b)
Volume of water in Bottle D
= (3136 + 1900) ÷ 2
= 5036 ÷ 2
= 2518 cm
3 2518 mℓ = 2.518 ℓ
Answer(s): (a) 3136 cm
3; (b) 2.518 ℓ