A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 7 : 13.
- 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 A and B without spilling any water. As a result, Bottle A had 1600 cm3 more water than Bottle B. Find the volume of water in Bottle A. Give your answer in litres.
(a)
Length of the tank = 8 u
Breadth of the tank = 7 u
Height of the tank = 13 u
8 u = 16
1 u = 16 ÷ 8 = 2
Breadth of the tank
= 7 u
= 7 x 2
= 14 cm
Height of the tank
= 13 u
= 13 x 2
= 26 cm
Volume of water in the tank
= 16 x 14 x 26
= 5824 cm
3 (b)
Volume of water in Bottle A
= (5824 + 1600) ÷ 2
= 7424 ÷ 2
= 3712 cm
3 3712 mℓ = 3.712 ℓ
Answer(s): (a) 5824 cm
3; (b) 3.712 ℓ