A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 10 : 4 : 12.
- Given that the height of the tank is 24 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles J and K without spilling any water. As a result, Bottle J had 1300 cm3 more water than Bottle K. Find the volume of water in Bottle J. Give your answer in litres.
(a)
Length of the tank = 10 u
Breadth of the tank = 4 u
Height of the tank = 12 u
12 u = 24
1 u = 24 ÷ 12 = 2
Length of the tank
= 10 u
= 10 x 2
= 20 cm
Breadth of the tank
= 4 u
= 4 x 2
= 8 cm
Volume of water in the tank
= 20 x 8 x 24
= 3840 cm
3 (b)
Volume of water in Bottle J
= (3840 + 1300) ÷ 2
= 5140 ÷ 2
= 2570 cm
3 2570 mℓ = 2.57 ℓ
Answer(s): (a) 3840 cm
3; (b) 2.57 ℓ