A rectangular container 40 cm long, 31 cm wide and 20 cm high is
35 filled with water. When some of the water is poured into an empty rectangular glass tank until it is completely full, 2 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 20 cm wide?
(a)
Volume of water in the container at first
=
35 x 40 x 31 x 20
= 14880 cm
3 1000 cm
3 = 1 ℓ
14880 cm
3 = 14.88 ℓ
(b)
2 ℓ = 2000 cm
3 Volume of water in the glass tank
= 14880 - 2000
= 12880 cm
3 Base area of the glass tank
= 46 x 20
= 920 cm
2 Height of the glass tank
= 12880 ÷ 920
= 14 cm
Answer(s): (a) 14.88 ℓ; (b) 14 cm