A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 7 : 3 : 10.
- Given that the length of the tank is 21 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles F and G without spilling any water. As a result, Bottle F had 1600 cm3 more water than Bottle G. Find the volume of water in Bottle F. Give your answer in litres.
(a)
Length of the tank = 7 u
Breadth of the tank = 3 u
Height of the tank = 10 u
7 u = 21
1 u = 21 ÷ 7 = 3
Breadth of the tank
= 3 u
= 3 x 3
= 9 cm
Height of the tank
= 10 u
= 10 x 3
= 30 cm
Volume of water in the tank
= 21 x 9 x 30
= 5670 cm
3 (b)
Volume of water in Bottle F
= (5670 + 1600) ÷ 2
= 7270 ÷ 2
= 3635 cm
3 3635 mℓ = 3.635 ℓ
Answer(s): (a) 5670 cm
3; (b) 3.635 ℓ