A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 7 : 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 J and K without spilling any water. As a result, Bottle J had 1800 cm3 more water than Bottle K. Find the volume of water in Bottle J. Give your answer in litres.
(a)
Length of the tank = 8 u
Breadth of the tank = 7 u
Height of the tank = 9 u
8 u = 16
1 u = 16 ÷ 8 = 2
Breadth of the tank
= 7 u
= 7 x 2
= 14 cm
Height of the tank
= 9 u
= 9 x 2
= 18 cm
Volume of water in the tank
= 16 x 14 x 18
= 4032 cm
3 (b)
Volume of water in Bottle J
= (4032 + 1800) ÷ 2
= 5832 ÷ 2
= 2916 cm
3 2916 mℓ = 2.916 ℓ
Answer(s): (a) 4032 cm
3; (b) 2.916 ℓ