A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 4 : 10.
- 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 W and X without spilling any water. As a result, Bottle W had 1600 cm3 more water than Bottle X. Find the volume of water in Bottle W. Give your answer in litres.
(a)
Length of the tank = 8 u
Breadth of the tank = 4 u
Height of the tank = 10 u
8 u = 16
1 u = 16 ÷ 8 = 2
Breadth of the tank
= 4 u
= 4 x 2
= 8 cm
Height of the tank
= 10 u
= 10 x 2
= 20 cm
Volume of water in the tank
= 16 x 8 x 20
= 2560 cm
3 (b)
Volume of water in Bottle W
= (2560 + 1600) ÷ 2
= 4160 ÷ 2
= 2080 cm
3 2080 mℓ = 2.08 ℓ
Answer(s): (a) 2560 cm
3; (b) 2.08 ℓ