A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 10 : 6 : 15.
- 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 E and F without spilling any water. As a result, Bottle E had 1700 cm3 more water than Bottle F. Find the volume of water in Bottle E. Give your answer in litres.
(a)
Length of the tank = 10 u
Breadth of the tank = 6 u
Height of the tank = 15 u
10 u = 20
1 u = 20 ÷ 10 = 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
= 20 x 12 x 30
= 7200 cm
3 (b)
Volume of water in Bottle E
= (7200 + 1700) ÷ 2
= 8900 ÷ 2
= 4450 cm
3 4450 mℓ = 4.45 ℓ
Answer(s): (a) 7200 cm
3; (b) 4.45 ℓ