A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 3 : 12.
- Given that the height of the tank is 36 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles F and G without spilling any water. As a result, Bottle F had 1800 cm3 more water than Bottle G. Find the volume of water in Bottle F. Give your answer in litres.
(a)
Length of the tank = 8 u
Breadth of the tank = 3 u
Height of the tank = 12 u
12 u = 36
1 u = 36 ÷ 12 = 3
Length of the tank
= 8 u
= 8 x 3
= 24 cm
Breadth of the tank
= 3 u
= 3 x 3
= 9 cm
Volume of water in the tank
= 24 x 9 x 36
= 7776 cm
3 (b)
Volume of water in Bottle F
= (7776 + 1800) ÷ 2
= 9576 ÷ 2
= 4788 cm
3 4788 mℓ = 4.788 ℓ
Answer(s): (a) 7776 cm
3; (b) 4.788 ℓ