A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 3 : 13.
- Given that the length of the tank is 16 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles D and E without spilling any water. As a result, Bottle D had 1100 cm3 more water than Bottle E. Find the volume of water in Bottle D. Give your answer in litres.
(a)
Length of the tank = 8 u
Breadth of the tank = 3 u
Height of the tank = 13 u
8 u = 16
1 u = 16 ÷ 8 = 2
Breadth of the tank
= 3 u
= 3 x 2
= 6 cm
Height of the tank
= 13 u
= 13 x 2
= 26 cm
Volume of water in the tank
= 16 x 6 x 26
= 2496 cm
3 (b)
Volume of water in Bottle D
= (2496 + 1100) ÷ 2
= 3596 ÷ 2
= 1798 cm
3 1798 mℓ = 1.798 ℓ
Answer(s): (a) 2496 cm
3; (b) 1.798 ℓ