A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 7 : 4 : 10.
- Given that the height 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 H and J without spilling any water. As a result, Bottle H had 1100 cm3 more water than Bottle J. Find the volume of water in Bottle H. Give your answer in litres.
(a)
Length of the tank = 7 u
Breadth of the tank = 4 u
Height of the tank = 10 u
10 u = 20
1 u = 20 ÷ 10 = 2
Length of the tank
= 7 u
= 7 x 2
= 14 cm
Breadth of the tank
= 4 u
= 4 x 2
= 8 cm
Volume of water in the tank
= 14 x 8 x 20
= 2240 cm
3 (b)
Volume of water in Bottle H
= (2240 + 1100) ÷ 2
= 3340 ÷ 2
= 1670 cm
3 1670 mℓ = 1.67 ℓ
Answer(s): (a) 2240 cm
3; (b) 1.67 ℓ