A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 10 : 6 : 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 T and U without spilling any water. As a result, Bottle T had 1600 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 = 6 u
Height of the tank = 13 u
10 u = 20
1 u = 20 ÷ 10 = 2
Breadth of the tank
= 6 u
= 6 x 2
= 12 cm
Height of the tank
= 13 u
= 13 x 2
= 26 cm
Volume of water in the tank
= 20 x 12 x 26
= 6240 cm
3 (b)
Volume of water in Bottle T
= (6240 + 1600) ÷ 2
= 7840 ÷ 2
= 3920 cm
3 3920 mℓ = 3.92 ℓ
Answer(s): (a) 6240 cm
3; (b) 3.92 ℓ