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 height of the tank is 26 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles X and Y without spilling any water. As a result, Bottle X had 1400 cm3 more water than Bottle Y. Find the volume of water in Bottle X. Give your answer in litres.
(a)
Length of the tank = 8 u
Breadth of the tank = 7 u
Height of the tank = 13 u
13 u = 26
1 u = 26 ÷ 13 = 2
Length of the tank
= 8 u
= 8 x 2
= 16 cm
Breadth of the tank
= 7 u
= 7 x 2
= 14 cm
Volume of water in the tank
= 16 x 14 x 26
= 5824 cm
3 (b)
Volume of water in Bottle X
= (5824 + 1400) ÷ 2
= 7224 ÷ 2
= 3612 cm
3 3612 mℓ = 3.612 ℓ
Answer(s): (a) 5824 cm
3; (b) 3.612 ℓ