A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 10 : 4 : 11.
- Given that the height of the tank is 22 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles Q and R without spilling any water. As a result, Bottle Q had 1600 cm3 more water than Bottle R. Find the volume of water in Bottle Q. Give your answer in litres.
(a)
Length of the tank = 10 u
Breadth of the tank = 4 u
Height of the tank = 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Length of the tank
= 10 u
= 10 x 2
= 20 cm
Breadth of the tank
= 4 u
= 4 x 2
= 8 cm
Volume of water in the tank
= 20 x 8 x 22
= 3520 cm
3 (b)
Volume of water in Bottle Q
= (3520 + 1600) ÷ 2
= 5120 ÷ 2
= 2560 cm
3 2560 mℓ = 2.56 ℓ
Answer(s): (a) 3520 cm
3; (b) 2.56 ℓ