A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 4 : 15.
- Given that the height of the tank is 30 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 1300 cm3 more water than Bottle U. Find the volume of water in Bottle T. Give your answer in litres.
(a)
Length of the tank = 8 u
Breadth of the tank = 4 u
Height of the tank = 15 u
15 u = 30
1 u = 30 ÷ 15 = 2
Length of the tank
= 8 u
= 8 x 2
= 16 cm
Breadth of the tank
= 4 u
= 4 x 2
= 8 cm
Volume of water in the tank
= 16 x 8 x 30
= 3840 cm
3 (b)
Volume of water in Bottle T
= (3840 + 1300) ÷ 2
= 5140 ÷ 2
= 2570 cm
3 2570 mℓ = 2.57 ℓ
Answer(s): (a) 3840 cm
3; (b) 2.57 ℓ