A rectangular container 36 cm long, 33 cm wide and 20 cm high is
16 filled with water. When some of the water is poured into an empty rectangular glass tank until it is completely full, 3 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 48 cm long and 20 cm wide?
(a)
Volume of water in the container at first
=
16 x 36 x 33 x 20
= 3960 cm
3 1000 cm
3 = 1 ℓ
3960 cm
3 = 3.96 ℓ
(b)
3 ℓ = 3000 cm
3 Volume of water in the glass tank
= 3960 - 3000
= 960 cm
3 Base area of the glass tank
= 48 x 20
= 960 cm
2 Height of the glass tank
= 960 ÷ 960
= 1 cm
Answer(s): (a) 3.96 ℓ; (b) 1 cm