A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 7 : 14.
- 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 1600 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 = 7 u
Height of the tank = 14 u
8 u = 16
1 u = 16 ÷ 8 = 2
Breadth of the tank
= 7 u
= 7 x 2
= 14 cm
Height of the tank
= 14 u
= 14 x 2
= 28 cm
Volume of water in the tank
= 16 x 14 x 28
= 6272 cm
3 (b)
Volume of water in Bottle Z
= (6272 + 1600) ÷ 2
= 7872 ÷ 2
= 3936 cm
3 3936 mℓ = 3.936 ℓ
Answer(s): (a) 6272 cm
3; (b) 3.936 ℓ