A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 4 : 14.
- Given that the height of the tank is 28 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles G and H without spilling any water. As a result, Bottle G had 1300 cm3 more water than Bottle H. Find the volume of water in Bottle G. Give your answer in litres.
(a)
Length of the tank = 8 u
Breadth of the tank = 4 u
Height of the tank = 14 u
14 u = 28
1 u = 28 ÷ 14 = 2
Length of the tank
= 8 u
= 8 x 2
= 16 cm
Breadth of the tank
= 4 u
= 4 x 2
= 8 cm
Volume of water in the tank
= 16 x 8 x 28
= 3584 cm
3 (b)
Volume of water in Bottle G
= (3584 + 1300) ÷ 2
= 4884 ÷ 2
= 2442 cm
3 2442 mℓ = 2.442 ℓ
Answer(s): (a) 3584 cm
3; (b) 2.442 ℓ