A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 10 : 7 : 13.
- Given that the length of the tank is 20 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 1500 cm3 more water than Bottle E. Find the volume of water in Bottle D. Give your answer in litres.
(a)
Length of the tank = 10 u
Breadth of the tank = 7 u
Height of the tank = 13 u
10 u = 20
1 u = 20 ÷ 10 = 2
Breadth of the tank
= 7 u
= 7 x 2
= 14 cm
Height of the tank
= 13 u
= 13 x 2
= 26 cm
Volume of water in the tank
= 20 x 14 x 26
= 7280 cm
3 (b)
Volume of water in Bottle D
= (7280 + 1500) ÷ 2
= 8780 ÷ 2
= 4390 cm
3 4390 mℓ = 4.39 ℓ
Answer(s): (a) 7280 cm
3; (b) 4.39 ℓ