A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 4 : 9.
- Given that the length of the tank is 16 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles Z and A without spilling any water. As a result, Bottle Z had 1900 cm3 more water than Bottle A. Find the volume of water in Bottle Z. Give your answer in litres.
(a)
Length of the tank = 8 u
Breadth of the tank = 4 u
Height of the tank = 9 u
8 u = 16
1 u = 16 ÷ 8 = 2
Breadth of the tank
= 4 u
= 4 x 2
= 8 cm
Height of the tank
= 9 u
= 9 x 2
= 18 cm
Volume of water in the tank
= 16 x 8 x 18
= 2304 cm
3 (b)
Volume of water in Bottle Z
= (2304 + 1900) ÷ 2
= 4204 ÷ 2
= 2102 cm
3 2102 mℓ = 2.102 ℓ
Answer(s): (a) 2304 cm
3; (b) 2.102 ℓ