A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 10 : 7 : 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 T and U without spilling any water. As a result, Bottle T had 1200 cm3 more water than Bottle U. Find the volume of water in Bottle T. Give your answer in litres.
(a)
Length of the tank = 10 u
Breadth of the tank = 7 u
Height of the tank = 14 u
14 u = 28
1 u = 28 ÷ 14 = 2
Length of the tank
= 10 u
= 10 x 2
= 20 cm
Breadth of the tank
= 7 u
= 7 x 2
= 14 cm
Volume of water in the tank
= 20 x 14 x 28
= 7840 cm
3 (b)
Volume of water in Bottle T
= (7840 + 1200) ÷ 2
= 9040 ÷ 2
= 4520 cm
3 4520 mℓ = 4.52 ℓ
Answer(s): (a) 7840 cm
3; (b) 4.52 ℓ