A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 10 : 7 : 15.
- Given that the length of the tank is 20 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles L and M without spilling any water. As a result, Bottle L had 1400 cm3 more water than Bottle M. Find the volume of water in Bottle L. Give your answer in litres.
(a)
Length of the tank = 10 u
Breadth of the tank = 7 u
Height of the tank = 15 u
10 u = 20
1 u = 20 ÷ 10 = 2
Breadth of the tank
= 7 u
= 7 x 2
= 14 cm
Height of the tank
= 15 u
= 15 x 2
= 30 cm
Volume of water in the tank
= 20 x 14 x 30
= 8400 cm
3 (b)
Volume of water in Bottle L
= (8400 + 1400) ÷ 2
= 9800 ÷ 2
= 4900 cm
3 4900 mℓ = 4.9 ℓ
Answer(s): (a) 8400 cm
3; (b) 4.9 ℓ