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 30 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles W and X without spilling any water. As a result, Bottle W had 1100 cm3 more water than Bottle X. Find the volume of water in Bottle W. 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 = 30
1 u = 30 ÷ 10 = 3
Length of the tank
= 7 u
= 7 x 3
= 21 cm
Breadth of the tank
= 4 u
= 4 x 3
= 12 cm
Volume of water in the tank
= 21 x 12 x 30
= 7560 cm
3 (b)
Volume of water in Bottle W
= (7560 + 1100) ÷ 2
= 8660 ÷ 2
= 4330 cm
3 4330 mℓ = 4.33 ℓ
Answer(s): (a) 7560 cm
3; (b) 4.33 ℓ