A rectangular container 42 cm long, 32 cm wide and 25 cm high is
27 filled with water. When some of the water is poured into an empty rectangular glass tank until it is completely full, 5 ℓ of water is left in the container.
- How many litres of water was there in the container at first?
- What is the height of the glass tank if it is 46 cm long and 25 cm wide?
(a)
Volume of water in the container at first
=
27 x 42 x 32 x 25
= 9600 cm
3 1000 cm
3 = 1 ℓ
9600 cm
3 = 9.6 ℓ
(b)
5 ℓ = 5000 cm
3 Volume of water in the glass tank
= 9600 - 5000
= 4600 cm
3 Base area of the glass tank
= 46 x 25
= 1150 cm
2 Height of the glass tank
= 4600 ÷ 1150
= 4 cm
Answer(s): (a) 9.6 ℓ; (b) 4 cm