A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 7 : 4 : 14.
- Given that the length of the tank is 14 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles R and S without spilling any water. As a result, Bottle R had 1100 cm3 more water than Bottle S. Find the volume of water in Bottle R. Give your answer in litres.
(a)
Length of the tank = 7 u
Breadth of the tank = 4 u
Height of the tank = 14 u
7 u = 14
1 u = 14 ÷ 7 = 2
Breadth of the tank
= 4 u
= 4 x 2
= 8 cm
Height of the tank
= 14 u
= 14 x 2
= 28 cm
Volume of water in the tank
= 14 x 8 x 28
= 3136 cm
3 (b)
Volume of water in Bottle R
= (3136 + 1100) ÷ 2
= 4236 ÷ 2
= 2118 cm
3 2118 mℓ = 2.118 ℓ
Answer(s): (a) 3136 cm
3; (b) 2.118 ℓ