A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 10 : 3 : 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 W and X without spilling any water. As a result, Bottle W had 1200 cm3 more water than Bottle X. Find the volume of water in Bottle W. Give your answer in litres.
(a)
Length of the tank = 10 u
Breadth of the tank = 3 u
Height of the tank = 13 u
10 u = 20
1 u = 20 ÷ 10 = 2
Breadth of the tank
= 3 u
= 3 x 2
= 6 cm
Height of the tank
= 13 u
= 13 x 2
= 26 cm
Volume of water in the tank
= 20 x 6 x 26
= 3120 cm
3 (b)
Volume of water in Bottle W
= (3120 + 1200) ÷ 2
= 4320 ÷ 2
= 2160 cm
3 2160 mℓ = 2.16 ℓ
Answer(s): (a) 3120 cm
3; (b) 2.16 ℓ