A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 3 : 11.
- 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 R and S without spilling any water. As a result, Bottle R had 1600 cm3 more water than Bottle S. Find the volume of water in Bottle R. Give your answer in litres.
(a)
Length of the tank = 8 u
Breadth of the tank = 3 u
Height of the tank = 11 u
8 u = 16
1 u = 16 ÷ 8 = 2
Breadth of the tank
= 3 u
= 3 x 2
= 6 cm
Height of the tank
= 11 u
= 11 x 2
= 22 cm
Volume of water in the tank
= 16 x 6 x 22
= 2112 cm
3 (b)
Volume of water in Bottle R
= (2112 + 1600) ÷ 2
= 3712 ÷ 2
= 1856 cm
3 1856 mℓ = 1.856 ℓ
Answer(s): (a) 2112 cm
3; (b) 1.856 ℓ