A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 5 : 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 E and F without spilling any water. As a result, Bottle E had 1700 cm3 more water than Bottle F. Find the volume of water in Bottle E. Give your answer in litres.
(a)
Length of the tank = 8 u
Breadth of the tank = 5 u
Height of the tank = 14 u
8 u = 16
1 u = 16 ÷ 8 = 2
Breadth of the tank
= 5 u
= 5 x 2
= 10 cm
Height of the tank
= 14 u
= 14 x 2
= 28 cm
Volume of water in the tank
= 16 x 10 x 28
= 4480 cm
3 (b)
Volume of water in Bottle E
= (4480 + 1700) ÷ 2
= 6180 ÷ 2
= 3090 cm
3 3090 mℓ = 3.09 ℓ
Answer(s): (a) 4480 cm
3; (b) 3.09 ℓ